id	sid	tid	token	lemma	pos
fcis-8582	1	1	frontiers	frontier	NOUN
fcis-8582	1	2	in	in	ADP
fcis-8582	1	3	computing	computing	NOUN
fcis-8582	1	4	and	and	CCONJ
fcis-8582	1	5	intelligent	intelligent	ADJ
fcis-8582	1	6	systems	system	NOUN
fcis-8582	1	7	issn	issn	VERB
fcis-8582	1	8	:	:	PUNCT
fcis-8582	1	9	2832	2832	NUM
fcis-8582	1	10	-	-	SYM
fcis-8582	1	11	6024	6024	NUM
fcis-8582	1	12	|	|	NOUN
fcis-8582	1	13	vol	vol	NOUN
fcis-8582	1	14	.	.	PROPN
fcis-8582	2	1	3	3	NUM
fcis-8582	2	2	,	,	PUNCT
fcis-8582	2	3	no	no	INTJ
fcis-8582	2	4	.	.	NOUN
fcis-8582	2	5	3	3	NUM
fcis-8582	2	6	,	,	PUNCT
fcis-8582	2	7	2023	2023	NUM
fcis-8582	2	8	118	118	NUM
fcis-8582	2	9	improvement	improvement	NOUN
fcis-8582	2	10	of	of	ADP
fcis-8582	2	11	the	the	DET
fcis-8582	2	12	method	method	NOUN
fcis-8582	2	13	of	of	ADP
fcis-8582	2	14	comparing	compare	VERB
fcis-8582	2	15	coefficients	coefficient	NOUN
fcis-8582	2	16	based	base	VERB
fcis-8582	2	17	on	on	ADP
fcis-8582	2	18	constant	constant	ADJ
fcis-8582	2	19	coefficients	coefficient	NOUN
fcis-8582	2	20	non‐homogeneous	non‐homogeneous	ADJ
fcis-8582	2	21	linear	linear	PROPN
fcis-8582	2	22	differential	differential	ADJ
fcis-8582	2	23	equations	equation	NOUN
fcis-8582	2	24	li	li	PROPN
fcis-8582	2	25	ge	ge	PROPN
fcis-8582	3	1	*	*	PROPN
fcis-8582	3	2	,	,	PUNCT
fcis-8582	3	3	maojun	maojun	PROPN
fcis-8582	3	4	zhou	zhou	PROPN
fcis-8582	3	5	school	school	PROPN
fcis-8582	3	6	of	of	ADP
fcis-8582	3	7	statistics	statistic	NOUN
fcis-8582	3	8	and	and	CCONJ
fcis-8582	3	9	applied	applied	ADJ
fcis-8582	3	10	mathematics	mathematic	NOUN
fcis-8582	3	11	,	,	PUNCT
fcis-8582	3	12	anhui	anhui	PROPN
fcis-8582	3	13	university	university	PROPN
fcis-8582	3	14	of	of	ADP
fcis-8582	3	15	finance	finance	NOUN
fcis-8582	3	16	and	and	CCONJ
fcis-8582	3	17	economics	economic	NOUN
fcis-8582	3	18	,	,	PUNCT
fcis-8582	3	19	bengbu	bengbu	NOUN
fcis-8582	3	20	,	,	PUNCT
fcis-8582	3	21	anhui	anhui	PROPN
fcis-8582	3	22	,	,	PUNCT
fcis-8582	3	23	233030	233030	NUM
fcis-8582	3	24	,	,	PUNCT
fcis-8582	3	25	china	china	PROPN
fcis-8582	3	26	abstract	abstract	NOUN
fcis-8582	3	27	:	:	PUNCT
fcis-8582	3	28	consider	consider	VERB
fcis-8582	3	29	three	three	NUM
fcis-8582	3	30	different	different	ADJ
fcis-8582	3	31	types	type	NOUN
fcis-8582	3	32	of	of	ADP
fcis-8582	3	33	non	non	ADJ
fcis-8582	3	34	-	-	ADJ
fcis-8582	3	35	homogeneous	homogeneous	ADJ
fcis-8582	3	36	term	term	NOUN
fcis-8582	3	37	(	(	PUNCT
fcis-8582	3	38	)	)	PUNCT
fcis-8582	3	39	f	f	X
fcis-8582	3	40	x	x	PUNCT
fcis-8582	3	41	for	for	ADP
fcis-8582	3	42	constant	constant	ADJ
fcis-8582	3	43	coefficient	coefficient	NOUN
fcis-8582	3	44	non	non	ADJ
fcis-8582	3	45	-	-	ADJ
fcis-8582	3	46	homogeneous	homogeneous	ADJ
fcis-8582	3	47	linear	linear	PROPN
fcis-8582	3	48	differential	differential	NOUN
fcis-8582	3	49	equation	equation	NOUN
fcis-8582	3	50	,	,	PUNCT
fcis-8582	3	51	set	set	VERB
fcis-8582	3	52	the	the	DET
fcis-8582	3	53	corresponding	corresponding	ADJ
fcis-8582	3	54	special	special	ADJ
fcis-8582	3	55	solution	solution	NOUN
fcis-8582	3	56	,	,	PUNCT
fcis-8582	3	57	then	then	ADV
fcis-8582	3	58	the	the	DET
fcis-8582	3	59	part	part	NOUN
fcis-8582	3	60	of	of	ADP
fcis-8582	3	61	the	the	DET
fcis-8582	3	62	function	function	NOUN
fcis-8582	3	63	containing	contain	VERB
fcis-8582	3	64	the	the	DET
fcis-8582	3	65	coefficients	coefficient	NOUN
fcis-8582	3	66	to	to	PART
fcis-8582	3	67	be	be	AUX
fcis-8582	3	68	determined	determine	VERB
fcis-8582	3	69	in	in	ADP
fcis-8582	3	70	the	the	DET
fcis-8582	3	71	special	special	ADJ
fcis-8582	3	72	solution	solution	NOUN
fcis-8582	3	73	is	be	AUX
fcis-8582	3	74	studied	study	VERB
fcis-8582	3	75	,	,	PUNCT
fcis-8582	3	76	the	the	DET
fcis-8582	3	77	equation	equation	NOUN
fcis-8582	3	78	that	that	PRON
fcis-8582	3	79	the	the	DET
fcis-8582	3	80	function	function	NOUN
fcis-8582	3	81	satisfies	satisfie	NOUN
fcis-8582	3	82	is	be	AUX
fcis-8582	3	83	obtained	obtain	VERB
fcis-8582	3	84	.	.	PUNCT
fcis-8582	4	1	by	by	ADP
fcis-8582	4	2	using	use	VERB
fcis-8582	4	3	the	the	DET
fcis-8582	4	4	comparative	comparative	ADJ
fcis-8582	4	5	coefficient	coefficient	NOUN
fcis-8582	4	6	method	method	NOUN
fcis-8582	4	7	to	to	PART
fcis-8582	4	8	find	find	VERB
fcis-8582	4	9	the	the	DET
fcis-8582	4	10	special	special	ADJ
fcis-8582	4	11	solution	solution	NOUN
fcis-8582	4	12	,	,	PUNCT
fcis-8582	4	13	and	and	CCONJ
fcis-8582	4	14	three	three	NUM
fcis-8582	4	15	conclusions	conclusion	NOUN
fcis-8582	4	16	are	be	AUX
fcis-8582	4	17	given	give	VERB
fcis-8582	4	18	.	.	PUNCT
fcis-8582	5	1	this	this	DET
fcis-8582	5	2	method	method	NOUN
fcis-8582	5	3	improves	improve	VERB
fcis-8582	5	4	the	the	DET
fcis-8582	5	5	original	original	ADJ
fcis-8582	5	6	method	method	NOUN
fcis-8582	5	7	of	of	ADP
fcis-8582	5	8	comparing	compare	VERB
fcis-8582	5	9	coefficient	coefficient	NOUN
fcis-8582	5	10	,	,	PUNCT
fcis-8582	5	11	the	the	DET
fcis-8582	5	12	calculation	calculation	NOUN
fcis-8582	5	13	of	of	ADP
fcis-8582	5	14	the	the	DET
fcis-8582	5	15	coefficients	coefficient	NOUN
fcis-8582	5	16	to	to	PART
fcis-8582	5	17	be	be	AUX
fcis-8582	5	18	determined	determine	VERB
fcis-8582	5	19	in	in	ADP
fcis-8582	5	20	the	the	DET
fcis-8582	5	21	special	special	ADJ
fcis-8582	5	22	solution	solution	NOUN
fcis-8582	5	23	is	be	AUX
fcis-8582	5	24	considerably	considerably	ADV
fcis-8582	5	25	simplified	simplified	ADJ
fcis-8582	5	26	.	.	PUNCT
fcis-8582	6	1	keywords	keyword	NOUN
fcis-8582	6	2	:	:	PUNCT
fcis-8582	6	3	constant	constant	ADJ
fcis-8582	6	4	coefficient	coefficient	NOUN
fcis-8582	6	5	non	non	ADJ
fcis-8582	6	6	-	-	ADJ
fcis-8582	6	7	homogeneous	homogeneous	ADJ
fcis-8582	6	8	linear	linear	PROPN
fcis-8582	6	9	differential	differential	NOUN
fcis-8582	6	10	equation	equation	NOUN
fcis-8582	6	11	;	;	PUNCT
fcis-8582	6	12	special	special	ADJ
fcis-8582	6	13	solution	solution	NOUN
fcis-8582	6	14	;	;	PUNCT
fcis-8582	6	15	comparison	comparison	NOUN
fcis-8582	6	16	coefficient	coefficient	NOUN
fcis-8582	6	17	method	method	NOUN
fcis-8582	6	18	.	.	PUNCT
fcis-8582	7	1	1	1	X
fcis-8582	7	2	.	.	X
fcis-8582	7	3	introduction	introduction	NOUN
fcis-8582	7	4	for	for	ADP
fcis-8582	7	5	the	the	DET
fcis-8582	7	6	solution	solution	NOUN
fcis-8582	7	7	of	of	ADP
fcis-8582	7	8	the	the	DET
fcis-8582	7	9	special	special	ADJ
fcis-8582	7	10	solution	solution	NOUN
fcis-8582	7	11	of	of	ADP
fcis-8582	7	12	the	the	DET
fcis-8582	7	13	nonhomogeneous	nonhomogeneous	ADJ
fcis-8582	7	14	linear	linear	PROPN
fcis-8582	7	15	differential	differential	NOUN
fcis-8582	7	16	equation	equation	NOUN
fcis-8582	7	17	with	with	ADP
fcis-8582	7	18	constant	constant	ADJ
fcis-8582	7	19	coefficients	coefficient	NOUN
fcis-8582	7	20	:	:	PUNCT
fcis-8582	7	21	(	(	PUNCT
fcis-8582	7	22	)	)	PUNCT
fcis-8582	7	23	(	(	PUNCT
fcis-8582	7	24	1	1	X
fcis-8582	7	25	)	)	PUNCT
fcis-8582	7	26	1	1	NUM
fcis-8582	7	27	(	(	PUNCT
fcis-8582	7	28	)	)	PUNCT
fcis-8582	7	29	(	(	PUNCT
fcis-8582	7	30	)	)	PUNCT
fcis-8582	7	31	n	n	CCONJ
fcis-8582	7	32	n	n	ADP
fcis-8582	7	33	nl	nl	NOUN
fcis-8582	7	34	y	y	PROPN
fcis-8582	7	35	y	y	PROPN
fcis-8582	8	1	a	a	DET
fcis-8582	8	2	y	y	PROPN
fcis-8582	8	3	a	a	PRON
fcis-8582	8	4	y	y	PROPN
fcis-8582	8	5	f	f	PROPN
fcis-8582	8	6	x	x	PROPN
fcis-8582	8	7			PROPN
fcis-8582	8	8			VERB
fcis-8582	8	9			PUNCT
fcis-8582	8	10			NOUN
fcis-8582	8	11	there	there	PRON
fcis-8582	8	12	are	be	VERB
fcis-8582	8	13	usually	usually	ADV
fcis-8582	8	14	comparative	comparative	ADJ
fcis-8582	8	15	coefficient	coefficient	NOUN
fcis-8582	8	16	methods	method	NOUN
fcis-8582	8	17	[	[	X
fcis-8582	8	18	1	1	NUM
fcis-8582	8	19	]	]	PUNCT
fcis-8582	8	20	,	,	PUNCT
fcis-8582	8	21	laplace	laplace	NOUN
fcis-8582	8	22	transform	transform	VERB
fcis-8582	8	23	methods	method	NOUN
fcis-8582	8	24	[	[	X
fcis-8582	8	25	1	1	NUM
fcis-8582	8	26	]	]	PUNCT
fcis-8582	8	27	or	or	CCONJ
fcis-8582	8	28	differential	differential	ADJ
fcis-8582	8	29	operator	operator	NOUN
fcis-8582	8	30	method	method	NOUN
fcis-8582	8	31	[	[	X
fcis-8582	8	32	2	2	NUM
fcis-8582	8	33	]	]	PUNCT
fcis-8582	8	34	,	,	PUNCT
fcis-8582	8	35	kai	kai	PROPN
fcis-8582	8	36	-	-	PUNCT
fcis-8582	8	37	liang	liang	PROPN
fcis-8582	8	38	lin	lin	PROPN
fcis-8582	8	39	and	and	CCONJ
fcis-8582	8	40	jing	jing	PROPN
fcis-8582	8	41	wang	wang	PROPN
fcis-8582	9	1	[	[	X
fcis-8582	9	2	3	3	X
fcis-8582	9	3	]	]	PUNCT
fcis-8582	9	4	reveal	reveal	VERB
fcis-8582	9	5	the	the	DET
fcis-8582	9	6	essence	essence	NOUN
fcis-8582	9	7	of	of	ADP
fcis-8582	9	8	the	the	DET
fcis-8582	9	9	differential	differential	ADJ
fcis-8582	9	10	operator	operator	NOUN
fcis-8582	9	11	method	method	NOUN
fcis-8582	9	12	for	for	ADP
fcis-8582	9	13	nonhomogeneous	nonhomogeneous	ADJ
fcis-8582	9	14	linear	linear	PROPN
fcis-8582	9	15	differential	differential	NOUN
fcis-8582	9	16	equations	equation	NOUN
fcis-8582	9	17	with	with	ADP
fcis-8582	9	18	constant	constant	ADJ
fcis-8582	9	19	coefficients	coefficient	NOUN
fcis-8582	9	20	based	base	VERB
fcis-8582	9	21	on	on	ADP
fcis-8582	9	22	two	two	NUM
fcis-8582	9	23	characteristics	characteristic	NOUN
fcis-8582	9	24	of	of	ADP
fcis-8582	9	25	non	non	ADJ
fcis-8582	9	26	homogeneous	homogeneous	ADJ
fcis-8582	9	27	term	term	NOUN
fcis-8582	9	28	(	(	PUNCT
fcis-8582	9	29	)	)	PUNCT
fcis-8582	9	30	f	f	PROPN
fcis-8582	9	31	x	x	PROPN
fcis-8582	9	32	,	,	PUNCT
fcis-8582	9	33	combined	combine	VERB
fcis-8582	9	34	with	with	ADP
fcis-8582	9	35	the	the	DET
fcis-8582	9	36	differential	differential	ADJ
fcis-8582	9	37	operator	operator	NOUN
fcis-8582	9	38	method	method	NOUN
fcis-8582	9	39	.	.	PUNCT
fcis-8582	10	1	lin	lin	PROPN
fcis-8582	10	2	-	-	PUNCT
fcis-8582	10	3	long	long	ADJ
fcis-8582	10	4	zhao	zhao	NOUN
fcis-8582	11	1	[	[	X
fcis-8582	11	2	4	4	X
fcis-8582	11	3	]	]	PUNCT
fcis-8582	11	4	explore	explore	VERB
fcis-8582	11	5	integrable	integrable	ADJ
fcis-8582	11	6	condition	condition	NOUN
fcis-8582	11	7	for	for	ADP
fcis-8582	11	8	the	the	DET
fcis-8582	11	9	composition	composition	NOUN
fcis-8582	11	10	of	of	ADP
fcis-8582	11	11	nonhomogeneous	nonhomogeneous	ADJ
fcis-8582	11	12	terms	term	NOUN
fcis-8582	11	13	,	,	PUNCT
fcis-8582	11	14	by	by	ADP
fcis-8582	11	15	transforming	transform	VERB
fcis-8582	11	16	the	the	DET
fcis-8582	11	17	linear	linear	ADJ
fcis-8582	11	18	differential	differential	ADJ
fcis-8582	11	19	equations	equation	NOUN
fcis-8582	11	20	with	with	ADP
fcis-8582	11	21	constant	constant	ADJ
fcis-8582	11	22	coefficients	coefficient	NOUN
fcis-8582	11	23	into	into	ADP
fcis-8582	11	24	a	a	DET
fcis-8582	11	25	system	system	NOUN
fcis-8582	11	26	of	of	ADP
fcis-8582	11	27	linear	linear	PROPN
fcis-8582	11	28	differential	differential	ADJ
fcis-8582	11	29	equations	equation	NOUN
fcis-8582	11	30	,	,	PUNCT
fcis-8582	11	31	the	the	DET
fcis-8582	11	32	special	special	ADJ
fcis-8582	11	33	solution	solution	NOUN
fcis-8582	11	34	is	be	AUX
fcis-8582	11	35	obtained	obtain	VERB
fcis-8582	11	36	by	by	ADP
fcis-8582	11	37	the	the	DET
fcis-8582	11	38	method	method	NOUN
fcis-8582	11	39	of	of	ADP
fcis-8582	11	40	integration	integration	NOUN
fcis-8582	11	41	.	.	PUNCT
fcis-8582	12	1	and	and	CCONJ
fcis-8582	12	2	for	for	ADP
fcis-8582	12	3	the	the	DET
fcis-8582	12	4	above	above	ADJ
fcis-8582	12	5	comparative	comparative	ADJ
fcis-8582	12	6	coefficient	coefficient	NOUN
fcis-8582	12	7	method	method	NOUN
fcis-8582	12	8	and	and	CCONJ
fcis-8582	12	9	laplace	laplace	NOUN
fcis-8582	12	10	transform	transform	NOUN
fcis-8582	12	11	method	method	NOUN
fcis-8582	12	12	,	,	PUNCT
fcis-8582	12	13	the	the	DET
fcis-8582	12	14	non	non	ADJ
fcis-8582	12	15	-	-	ADJ
fcis-8582	12	16	homogeneous	homogeneous	ADJ
fcis-8582	12	17	term	term	NOUN
fcis-8582	12	18	is	be	AUX
fcis-8582	12	19	usually	usually	ADV
fcis-8582	12	20	subject	subject	ADJ
fcis-8582	12	21	to	to	ADP
fcis-8582	12	22	the	the	DET
fcis-8582	12	23	following	follow	VERB
fcis-8582	12	24	two	two	NUM
fcis-8582	12	25	characteristics	characteristic	NOUN
fcis-8582	12	26	,	,	PUNCT
fcis-8582	12	27	that	that	PRON
fcis-8582	12	28	is	be	AUX
fcis-8582	12	29	1	1	NUM
fcis-8582	12	30	0	0	NUM
fcis-8582	12	31	1	1	NUM
fcis-8582	12	32	1	1	NUM
fcis-8582	12	33	(	(	PUNCT
fcis-8582	12	34	)	)	PUNCT
fcis-8582	12	35	(	(	PUNCT
fcis-8582	12	36	)	)	PUNCT
fcis-8582	12	37	m	m	VERB
fcis-8582	12	38	m	m	VERB
fcis-8582	12	39	x	x	X
fcis-8582	12	40	m	m	VERB
fcis-8582	12	41	mf	mf	NOUN
fcis-8582	12	42	x	x	X
fcis-8582	12	43	b	b	PROPN
fcis-8582	12	44	x	x	SYM
fcis-8582	12	45	b	b	PROPN
fcis-8582	12	46	x	x	SYM
fcis-8582	12	47	b	b	PROPN
fcis-8582	12	48	x	x	SYM
fcis-8582	12	49	b	b	PROPN
fcis-8582	12	50	e	e	PROPN
fcis-8582	12	51			PROPN
fcis-8582	12	52			PUNCT
fcis-8582	12	53			PROPN
fcis-8582	12	54			PUNCT
fcis-8582	12	55			ADJ
fcis-8582	12	56	or	or	CCONJ
fcis-8582	12	57	(	(	PUNCT
fcis-8582	12	58	)	)	PUNCT
fcis-8582	12	59	[	[	PUNCT
fcis-8582	12	60	(	(	PUNCT
fcis-8582	12	61	)	)	PUNCT
fcis-8582	12	62	cos	cos	PROPN
fcis-8582	12	63	(	(	PUNCT
fcis-8582	12	64	)	)	PUNCT
fcis-8582	12	65	sin	sin	NOUN
fcis-8582	12	66	]	]	PUNCT
fcis-8582	12	67	xf	xf	PROPN
fcis-8582	12	68	x	x	PUNCT
fcis-8582	13	1	a	a	PRON
fcis-8582	13	2	x	x	X
fcis-8582	13	3	x	x	SYM
fcis-8582	13	4	b	b	NOUN
fcis-8582	13	5	x	x	SYM
fcis-8582	13	6	x	x	SYM
fcis-8582	13	7	e	e	PROPN
fcis-8582	13	8			VERB
fcis-8582	13	9			VERB
fcis-8582	13	10	in	in	ADP
fcis-8582	13	11	this	this	DET
fcis-8582	13	12	case	case	NOUN
fcis-8582	13	13	,	,	PUNCT
fcis-8582	13	14	the	the	DET
fcis-8582	13	15	coefficient	coefficient	NOUN
fcis-8582	13	16	of	of	ADP
fcis-8582	13	17	comparison	comparison	NOUN
fcis-8582	13	18	method	method	NOUN
fcis-8582	13	19	is	be	AUX
fcis-8582	13	20	used	use	VERB
fcis-8582	13	21	to	to	PART
fcis-8582	13	22	set	set	VERB
fcis-8582	13	23	the	the	DET
fcis-8582	13	24	form	form	NOUN
fcis-8582	13	25	of	of	ADP
fcis-8582	13	26	the	the	DET
fcis-8582	13	27	special	special	ADJ
fcis-8582	13	28	solution	solution	NOUN
fcis-8582	13	29	according	accord	VERB
fcis-8582	13	30	to	to	ADP
fcis-8582	13	31	the	the	DET
fcis-8582	13	32	two	two	NUM
fcis-8582	13	33	characteristics	characteristic	NOUN
fcis-8582	13	34	of	of	ADP
fcis-8582	13	35	the	the	DET
fcis-8582	13	36	special	special	ADJ
fcis-8582	13	37	solution	solution	NOUN
fcis-8582	13	38	,	,	PUNCT
fcis-8582	13	39	and	and	CCONJ
fcis-8582	13	40	then	then	ADV
fcis-8582	13	41	the	the	DET
fcis-8582	13	42	coefficient	coefficient	NOUN
fcis-8582	13	43	of	of	ADP
fcis-8582	13	44	comparison	comparison	NOUN
fcis-8582	13	45	method	method	NOUN
fcis-8582	13	46	is	be	AUX
fcis-8582	13	47	used	use	VERB
fcis-8582	13	48	to	to	PART
fcis-8582	13	49	determine	determine	VERB
fcis-8582	13	50	the	the	DET
fcis-8582	13	51	coefficients	coefficient	NOUN
fcis-8582	13	52	to	to	PART
fcis-8582	13	53	be	be	AUX
fcis-8582	13	54	determined	determine	VERB
fcis-8582	13	55	in	in	ADP
fcis-8582	13	56	the	the	DET
fcis-8582	13	57	special	special	ADJ
fcis-8582	13	58	solution	solution	NOUN
fcis-8582	13	59	,	,	PUNCT
fcis-8582	13	60	so	so	SCONJ
fcis-8582	13	61	as	as	SCONJ
fcis-8582	13	62	to	to	PART
fcis-8582	13	63	find	find	VERB
fcis-8582	13	64	the	the	DET
fcis-8582	13	65	special	special	ADJ
fcis-8582	13	66	solution	solution	NOUN
fcis-8582	13	67	.	.	PUNCT
fcis-8582	14	1	it	it	PRON
fcis-8582	14	2	is	be	AUX
fcis-8582	14	3	characterized	characterize	VERB
fcis-8582	14	4	by	by	ADP
fcis-8582	14	5	the	the	DET
fcis-8582	14	6	fact	fact	NOUN
fcis-8582	14	7	that	that	SCONJ
fcis-8582	14	8	the	the	DET
fcis-8582	14	9	special	special	ADJ
fcis-8582	14	10	solution	solution	NOUN
fcis-8582	14	11	of	of	ADP
fcis-8582	14	12	a	a	DET
fcis-8582	14	13	non	non	ADJ
fcis-8582	14	14	-	-	ADJ
fcis-8582	14	15	homogeneous	homogeneous	ADJ
fcis-8582	14	16	linear	linear	PROPN
fcis-8582	14	17	differential	differential	NOUN
fcis-8582	14	18	equation	equation	NOUN
fcis-8582	14	19	can	can	AUX
fcis-8582	14	20	be	be	AUX
fcis-8582	14	21	obtained	obtain	VERB
fcis-8582	14	22	by	by	ADP
fcis-8582	14	23	algebraic	algebraic	ADJ
fcis-8582	14	24	methods	method	NOUN
fcis-8582	14	25	without	without	ADP
fcis-8582	14	26	integration	integration	NOUN
fcis-8582	14	27	.	.	PUNCT
fcis-8582	15	1	however	however	ADV
fcis-8582	15	2	,	,	PUNCT
fcis-8582	15	3	if	if	SCONJ
fcis-8582	15	4	the	the	DET
fcis-8582	15	5	special	special	ADJ
fcis-8582	15	6	solution	solution	NOUN
fcis-8582	15	7	is	be	AUX
fcis-8582	15	8	set	set	VERB
fcis-8582	15	9	without	without	ADP
fcis-8582	15	10	any	any	DET
fcis-8582	15	11	treatment	treatment	NOUN
fcis-8582	15	12	and	and	CCONJ
fcis-8582	15	13	directly	directly	ADV
fcis-8582	15	14	substituted	substitute	VERB
fcis-8582	15	15	into	into	ADP
fcis-8582	15	16	the	the	DET
fcis-8582	15	17	original	original	ADJ
fcis-8582	15	18	equation	equation	NOUN
fcis-8582	15	19	,	,	PUNCT
fcis-8582	15	20	the	the	DET
fcis-8582	15	21	calculation	calculation	NOUN
fcis-8582	15	22	is	be	AUX
fcis-8582	15	23	also	also	ADV
fcis-8582	15	24	quite	quite	ADV
fcis-8582	15	25	troublesome	troublesome	ADJ
fcis-8582	15	26	.	.	PUNCT
fcis-8582	16	1	the	the	DET
fcis-8582	16	2	purpose	purpose	NOUN
fcis-8582	16	3	of	of	ADP
fcis-8582	16	4	this	this	DET
fcis-8582	16	5	paper	paper	NOUN
fcis-8582	16	6	is	be	AUX
fcis-8582	16	7	to	to	PART
fcis-8582	16	8	find	find	VERB
fcis-8582	16	9	the	the	DET
fcis-8582	16	10	equation	equation	NOUN
fcis-8582	16	11	satisfied	satisfy	VERB
fcis-8582	16	12	by	by	ADP
fcis-8582	16	13	the	the	DET
fcis-8582	16	14	function	function	NOUN
fcis-8582	16	15	based	base	VERB
fcis-8582	16	16	on	on	ADP
fcis-8582	16	17	the	the	DET
fcis-8582	16	18	comparative	comparative	ADJ
fcis-8582	16	19	coefficients	coefficient	NOUN
fcis-8582	16	20	,	,	PUNCT
fcis-8582	16	21	and	and	CCONJ
fcis-8582	16	22	then	then	ADV
fcis-8582	16	23	use	use	VERB
fcis-8582	16	24	the	the	DET
fcis-8582	16	25	comparative	comparative	ADJ
fcis-8582	16	26	coefficients	coefficient	NOUN
fcis-8582	16	27	method	method	NOUN
fcis-8582	16	28	to	to	PART
fcis-8582	16	29	solve	solve	VERB
fcis-8582	16	30	for	for	ADP
fcis-8582	16	31	the	the	DET
fcis-8582	16	32	undetermined	undetermined	ADJ
fcis-8582	16	33	coefficients	coefficient	NOUN
fcis-8582	16	34	in	in	ADP
fcis-8582	16	35	it	it	PRON
fcis-8582	16	36	,	,	PUNCT
fcis-8582	16	37	and	and	CCONJ
fcis-8582	16	38	find	find	VERB
fcis-8582	16	39	the	the	DET
fcis-8582	16	40	special	special	ADJ
fcis-8582	16	41	solution	solution	NOUN
fcis-8582	16	42	of	of	ADP
fcis-8582	16	43	the	the	DET
fcis-8582	16	44	equation	equation	NOUN
fcis-8582	16	45	.	.	PUNCT
fcis-8582	17	1	in	in	ADP
fcis-8582	17	2	this	this	DET
fcis-8582	17	3	paper	paper	NOUN
fcis-8582	17	4	,	,	PUNCT
fcis-8582	17	5	we	we	PRON
fcis-8582	17	6	examine	examine	VERB
fcis-8582	17	7	the	the	DET
fcis-8582	17	8	second	second	ADJ
fcis-8582	17	9	order	order	NOUN
fcis-8582	17	10	linear	linear	NOUN
fcis-8582	17	11	differential	differential	ADJ
fcis-8582	17	12	equation	equation	NOUN
fcis-8582	17	13	with	with	ADP
fcis-8582	17	14	constant	constant	ADJ
fcis-8582	17	15	coefficients	coefficient	NOUN
fcis-8582	17	16	as	as	ADP
fcis-8582	17	17	an	an	DET
fcis-8582	17	18	example	example	NOUN
fcis-8582	17	19	,	,	PUNCT
fcis-8582	17	20	and	and	CCONJ
fcis-8582	17	21	have	have	VERB
fcis-8582	17	22	similar	similar	ADJ
fcis-8582	17	23	conclusions	conclusion	NOUN
fcis-8582	17	24	for	for	ADP
fcis-8582	17	25	linear	linear	PROPN
fcis-8582	17	26	differential	differential	ADJ
fcis-8582	17	27	equations	equation	NOUN
fcis-8582	17	28	with	with	ADP
fcis-8582	17	29	constant	constant	ADJ
fcis-8582	17	30	coefficients	coefficient	NOUN
fcis-8582	17	31	of	of	ADP
fcis-8582	17	32	higher	high	ADJ
fcis-8582	17	33	order	order	NOUN
fcis-8582	17	34	.	.	PUNCT
fcis-8582	18	1	2	2	X
fcis-8582	18	2	.	.	X
fcis-8582	18	3	preliminary	preliminary	ADJ
fcis-8582	18	4	knowledge	knowledge	NOUN
fcis-8582	18	5	let	let	VERB
fcis-8582	18	6	the	the	DET
fcis-8582	18	7	second	second	ADJ
fcis-8582	18	8	order	order	NOUN
fcis-8582	18	9	constant	constant	ADJ
fcis-8582	18	10	coefficient	coefficient	NOUN
fcis-8582	18	11	nonhomogeneous	nonhomogeneous	ADJ
fcis-8582	18	12	linear	linear	PROPN
fcis-8582	18	13	differential	differential	NOUN
fcis-8582	18	14	equation	equation	NOUN
fcis-8582	18	15	(	(	PUNCT
fcis-8582	18	16	)	)	PUNCT
fcis-8582	18	17	y	y	PROPN
fcis-8582	18	18	py	py	PROPN
fcis-8582	18	19	qy	qy	PROPN
fcis-8582	18	20	f	f	PROPN
fcis-8582	18	21	x	x	PROPN
fcis-8582	18	22			X
fcis-8582	18	23			VERB
fcis-8582	19	1			NUM
fcis-8582	19	2	(	(	PUNCT
fcis-8582	19	3	1	1	X
fcis-8582	19	4	)	)	PUNCT
fcis-8582	19	5	corresponding	correspond	VERB
fcis-8582	19	6	homogeneous	homogeneous	ADJ
fcis-8582	19	7	linear	linear	PROPN
fcis-8582	19	8	equation	equation	NOUN
fcis-8582	19	9	0y	0y	NOUN
fcis-8582	19	10	py	py	PROPN
fcis-8582	19	11	qy	qy	PROPN
fcis-8582	19	12			ADV
fcis-8582	19	13			VERB
fcis-8582	19	14			NUM
fcis-8582	19	15	(	(	PUNCT
fcis-8582	19	16	2	2	NUM
fcis-8582	19	17	)	)	PUNCT
fcis-8582	19	18	for	for	ADP
fcis-8582	19	19	the	the	DET
fcis-8582	19	20	general	general	ADJ
fcis-8582	19	21	solutions	solution	NOUN
fcis-8582	19	22	of	of	ADP
fcis-8582	19	23	the	the	DET
fcis-8582	19	24	second	second	ADJ
fcis-8582	19	25	order	order	NOUN
fcis-8582	19	26	linear	linear	NOUN
fcis-8582	19	27	differential	differential	NOUN
fcis-8582	19	28	equation	equation	NOUN
fcis-8582	19	29	(	(	PUNCT
fcis-8582	19	30	1	1	NUM
fcis-8582	19	31	)	)	PUNCT
fcis-8582	19	32	and	and	CCONJ
fcis-8582	19	33	(	(	PUNCT
fcis-8582	19	34	2	2	NUM
fcis-8582	19	35	)	)	PUNCT
fcis-8582	19	36	,	,	PUNCT
fcis-8582	19	37	we	we	PRON
fcis-8582	19	38	have	have	VERB
fcis-8582	19	39	the	the	DET
fcis-8582	19	40	following	follow	VERB
fcis-8582	19	41	conclusions	conclusion	NOUN
fcis-8582	19	42	:	:	PUNCT
fcis-8582	19	43	lemma1	lemma1	PROPN
fcis-8582	20	1	[	[	X
fcis-8582	20	2	5	5	NUM
fcis-8582	20	3	]	]	PUNCT
fcis-8582	20	4	:	:	PUNCT
fcis-8582	20	5	let	let	VERB
fcis-8582	20	6	*	*	PUNCT
fcis-8582	20	7	y	y	PROPN
fcis-8582	20	8	is	be	AUX
fcis-8582	20	9	a	a	DET
fcis-8582	20	10	special	special	ADJ
fcis-8582	20	11	solution	solution	NOUN
fcis-8582	20	12	of	of	ADP
fcis-8582	20	13	the	the	DET
fcis-8582	20	14	non	non	ADJ
fcis-8582	20	15	homogeneous	homogeneous	ADJ
fcis-8582	20	16	linear	linear	PROPN
fcis-8582	20	17	differential	differential	NOUN
fcis-8582	20	18	equation	equation	NOUN
fcis-8582	20	19	(	(	PUNCT
fcis-8582	20	20	1	1	NUM
fcis-8582	20	21	)	)	PUNCT
fcis-8582	20	22	,	,	PUNCT
fcis-8582	20	23	y	y	PROPN
fcis-8582	20	24	is	be	AUX
fcis-8582	20	25	the	the	DET
fcis-8582	20	26	general	general	ADJ
fcis-8582	20	27	solution	solution	NOUN
fcis-8582	20	28	of	of	ADP
fcis-8582	20	29	the	the	DET
fcis-8582	20	30	homogeneous	homogeneous	ADJ
fcis-8582	20	31	differential	differential	NOUN
fcis-8582	20	32	equation	equation	NOUN
fcis-8582	20	33	(	(	PUNCT
fcis-8582	20	34	2	2	X
fcis-8582	20	35	)	)	PUNCT
fcis-8582	20	36	corresponding	correspond	VERB
fcis-8582	20	37	to	to	ADP
fcis-8582	20	38	(	(	PUNCT
fcis-8582	20	39	1),then	1),then	NUM
fcis-8582	20	40	*	*	PUNCT
fcis-8582	20	41	y	y	PROPN
fcis-8582	20	42	y	y	PROPN
fcis-8582	20	43	y	y	PROPN
fcis-8582	20	44			ADV
fcis-8582	20	45	is	be	AUX
fcis-8582	20	46	the	the	DET
fcis-8582	20	47	general	general	ADJ
fcis-8582	20	48	solution	solution	NOUN
fcis-8582	20	49	of	of	ADP
fcis-8582	20	50	the	the	DET
fcis-8582	20	51	second	second	ADJ
fcis-8582	20	52	-	-	PUNCT
fcis-8582	20	53	order	order	NOUN
fcis-8582	20	54	nonhomogeneous	nonhomogeneous	ADJ
fcis-8582	20	55	linear	linear	NOUN
fcis-8582	20	56	differential	differential	NOUN
fcis-8582	20	57	equation	equation	NOUN
fcis-8582	20	58	(	(	PUNCT
fcis-8582	20	59	1	1	NUM
fcis-8582	20	60	)	)	PUNCT
fcis-8582	20	61	.	.	PUNCT
fcis-8582	21	1	lemma2	lemma2	NOUN
fcis-8582	22	1	[	[	X
fcis-8582	22	2	5	5	NUM
fcis-8582	22	3	]	]	PUNCT
fcis-8582	22	4	:	:	PUNCT
fcis-8582	22	5	let	let	VERB
fcis-8582	22	6	the	the	DET
fcis-8582	22	7	right	right	ADJ
fcis-8582	22	8	-	-	PUNCT
fcis-8582	22	9	hand	hand	NOUN
fcis-8582	22	10	side	side	NOUN
fcis-8582	22	11	of	of	ADP
fcis-8582	22	12	the	the	DET
fcis-8582	22	13	non	non	ADJ
fcis-8582	22	14	homogeneous	homogeneous	ADJ
fcis-8582	22	15	equation	equation	NOUN
fcis-8582	22	16	(	(	PUNCT
fcis-8582	22	17	1	1	X
fcis-8582	22	18	)	)	PUNCT
fcis-8582	22	19	is	be	AUX
fcis-8582	22	20	the	the	DET
fcis-8582	22	21	sum	sum	NOUN
fcis-8582	22	22	of	of	ADP
fcis-8582	22	23	several	several	ADJ
fcis-8582	22	24	functions	function	NOUN
fcis-8582	22	25	,	,	PUNCT
fcis-8582	22	26	such	such	ADJ
fcis-8582	22	27	as	as	ADP
fcis-8582	22	28	1	1	NUM
fcis-8582	22	29	2	2	NUM
fcis-8582	22	30	(	(	PUNCT
fcis-8582	22	31	)	)	PUNCT
fcis-8582	22	32	(	(	PUNCT
fcis-8582	22	33	)	)	PUNCT
fcis-8582	22	34	y	y	PROPN
fcis-8582	22	35	py	py	PROPN
fcis-8582	22	36	qy	qy	PROPN
fcis-8582	23	1	f	f	PROPN
fcis-8582	23	2	x	x	X
fcis-8582	23	3	f	f	PROPN
fcis-8582	23	4	x	x	PROPN
fcis-8582	23	5			X
fcis-8582	23	6			PROPN
fcis-8582	23	7			NUM
fcis-8582	23	8			X
fcis-8582	23	9	*	*	PUNCT
fcis-8582	23	10	1y	1y	X
fcis-8582	23	11	and	and	CCONJ
fcis-8582	23	12	*	*	PROPN
fcis-8582	23	13	2y	2y	NUM
fcis-8582	23	14	are	be	AUX
fcis-8582	23	15	special	special	ADJ
fcis-8582	23	16	solutions	solution	NOUN
fcis-8582	23	17	of	of	ADP
fcis-8582	23	18	the	the	DET
fcis-8582	23	19	differential	differential	ADJ
fcis-8582	23	20	equation	equation	NOUN
fcis-8582	23	21	,	,	PUNCT
fcis-8582	23	22	respectively	respectively	ADV
fcis-8582	23	23	1	1	NUM
fcis-8582	23	24	(	(	PUNCT
fcis-8582	23	25	)	)	PUNCT
fcis-8582	23	26	y	y	PROPN
fcis-8582	23	27	py	py	PROPN
fcis-8582	23	28	qy	qy	PROPN
fcis-8582	23	29	f	f	PROPN
fcis-8582	23	30	x	x	PROPN
fcis-8582	23	31			X
fcis-8582	23	32			PROPN
fcis-8582	23	33			NUM
fcis-8582	23	34	2	2	NUM
fcis-8582	23	35	(	(	PUNCT
fcis-8582	23	36	)	)	PUNCT
fcis-8582	23	37	y	y	PROPN
fcis-8582	23	38	py	py	PROPN
fcis-8582	23	39	qy	qy	PROPN
fcis-8582	23	40	f	f	PROPN
fcis-8582	23	41	x	x	PROPN
fcis-8582	24	1			X
fcis-8582	24	2			PROPN
fcis-8582	25	1			ADV
fcis-8582	25	2	then	then	ADV
fcis-8582	25	3	*	*	PUNCT
fcis-8582	26	1	*	*	PUNCT
fcis-8582	26	2	1	1	NUM
fcis-8582	26	3	2y	2y	NUM
fcis-8582	26	4	y	y	PROPN
fcis-8582	26	5	is	be	AUX
fcis-8582	26	6	the	the	DET
fcis-8582	26	7	special	special	ADJ
fcis-8582	26	8	solution	solution	NOUN
fcis-8582	26	9	of	of	ADP
fcis-8582	26	10	the	the	DET
fcis-8582	26	11	differential	differential	ADJ
fcis-8582	26	12	equation	equation	NOUN
fcis-8582	26	13	(	(	PUNCT
fcis-8582	26	14	1	1	NUM
fcis-8582	26	15	)	)	PUNCT
fcis-8582	26	16	.	.	PUNCT
fcis-8582	27	1	lemma3	lemma3	PUNCT
fcis-8582	28	1	[	[	X
fcis-8582	28	2	1	1	NUM
fcis-8582	28	3	]	]	X
fcis-8582	28	4	:	:	PUNCT
fcis-8582	28	5	if	if	SCONJ
fcis-8582	28	6	the	the	DET
fcis-8582	28	7	second	second	ADJ
fcis-8582	28	8	-	-	PUNCT
fcis-8582	28	9	order	order	NOUN
fcis-8582	28	10	nonhomogeneous	nonhomogeneous	ADJ
fcis-8582	28	11	linear	linear	NOUN
fcis-8582	28	12	differential	differential	NOUN
fcis-8582	28	13	equation	equation	NOUN
fcis-8582	28	14	(	(	PUNCT
fcis-8582	28	15	)	)	PUNCT
fcis-8582	28	16	(	(	PUNCT
fcis-8582	28	17	)	)	PUNCT
fcis-8582	28	18	y	y	PROPN
fcis-8582	28	19	py	py	PROPN
fcis-8582	28	20	qy	qy	PROPN
fcis-8582	28	21	u	u	PROPN
fcis-8582	28	22	x	x	SYM
fcis-8582	28	23	iv	iv	NUM
fcis-8582	28	24	x	x	X
fcis-8582	28	25			X
fcis-8582	28	26			PROPN
fcis-8582	28	27			NUM
fcis-8582	28	28			PUNCT
fcis-8582	28	29	,	,	PUNCT
fcis-8582	28	30	has	have	VERB
fcis-8582	28	31	complex	complex	ADV
fcis-8582	28	32	-	-	PUNCT
fcis-8582	28	33	valued	value	VERB
fcis-8582	28	34	solution	solution	NOUN
fcis-8582	28	35	(	(	PUNCT
fcis-8582	28	36	)	)	PUNCT
fcis-8582	28	37	(	(	PUNCT
fcis-8582	28	38	)	)	PUNCT
fcis-8582	28	39	x	x	SYM
fcis-8582	28	40	i	i	NOUN
fcis-8582	28	41	x	x	PUNCT
fcis-8582	28	42			NOUN
fcis-8582	28	43	,	,	PUNCT
fcis-8582	28	44	then	then	ADV
fcis-8582	28	45	(	(	PUNCT
fcis-8582	28	46	)	)	PUNCT
fcis-8582	28	47	,	,	PUNCT
fcis-8582	28	48	(	(	PUNCT
fcis-8582	28	49	)	)	PUNCT
fcis-8582	28	50	x	x	X
fcis-8582	28	51	x	x	PUNCT
fcis-8582	28	52			NOUN
fcis-8582	28	53	are	be	AUX
fcis-8582	28	54	the	the	DET
fcis-8582	28	55	solutions	solution	NOUN
fcis-8582	28	56	of	of	ADP
fcis-8582	28	57	the	the	DET
fcis-8582	28	58	equations	equation	NOUN
fcis-8582	28	59	,	,	PUNCT
fcis-8582	28	60	respectively	respectively	ADV
fcis-8582	28	61	119	119	NUM
fcis-8582	28	62	(	(	PUNCT
fcis-8582	28	63	)	)	PUNCT
fcis-8582	28	64	y	y	PROPN
fcis-8582	28	65	py	py	PROPN
fcis-8582	28	66	qy	qy	PROPN
fcis-8582	28	67	u	u	PROPN
fcis-8582	28	68	x	x	PROPN
fcis-8582	28	69			PUNCT
fcis-8582	28	70			VERB
fcis-8582	29	1			NUM
fcis-8582	29	2	(	(	PUNCT
fcis-8582	29	3	)	)	PUNCT
fcis-8582	29	4	y	y	PROPN
fcis-8582	29	5	py	py	PROPN
fcis-8582	29	6	qy	qy	PROPN
fcis-8582	29	7	v	v	PROPN
fcis-8582	29	8	x	x	PROPN
fcis-8582	29	9			PUNCT
fcis-8582	30	1			VERB
fcis-8582	31	1			NUM
fcis-8582	31	2	proof	proof	NOUN
fcis-8582	31	3	:	:	PUNCT
fcis-8582	31	4	if	if	SCONJ
fcis-8582	31	5	the	the	DET
fcis-8582	31	6	complex	complex	ADJ
fcis-8582	31	7	valued	value	VERB
fcis-8582	31	8	function	function	NOUN
fcis-8582	31	9	(	(	PUNCT
fcis-8582	31	10	)	)	PUNCT
fcis-8582	31	11	(	(	PUNCT
fcis-8582	31	12	)	)	PUNCT
fcis-8582	31	13	x	x	SYM
fcis-8582	31	14	i	i	NOUN
fcis-8582	31	15	x	x	PUNCT
fcis-8582	31	16			NOUN
fcis-8582	31	17	is	be	AUX
fcis-8582	31	18	a	a	DET
fcis-8582	31	19	solution	solution	NOUN
fcis-8582	31	20	of	of	ADP
fcis-8582	31	21	differential	differential	ADJ
fcis-8582	31	22	equation	equation	NOUN
fcis-8582	31	23	(	(	PUNCT
fcis-8582	31	24	)	)	PUNCT
fcis-8582	32	1	(	(	PUNCT
fcis-8582	32	2	)	)	PUNCT
fcis-8582	32	3	y	y	PROPN
fcis-8582	32	4	py	py	PROPN
fcis-8582	32	5	qy	qy	PROPN
fcis-8582	32	6	u	u	PROPN
fcis-8582	32	7	x	x	SYM
fcis-8582	32	8	iv	iv	NUM
fcis-8582	32	9	x	x	X
fcis-8582	32	10			X
fcis-8582	32	11			PROPN
fcis-8582	32	12			NUM
fcis-8582	32	13			PUNCT
fcis-8582	32	14	then	then	ADV
fcis-8582	32	15	(	(	PUNCT
fcis-8582	32	16	(	(	PUNCT
fcis-8582	32	17	)	)	PUNCT
fcis-8582	32	18	(	(	PUNCT
fcis-8582	32	19	)	)	PUNCT
fcis-8582	32	20	(	(	PUNCT
fcis-8582	32	21	(	(	PUNCT
fcis-8582	32	22	)	)	PUNCT
fcis-8582	32	23	(	(	PUNCT
fcis-8582	32	24	)	)	PUNCT
fcis-8582	32	25	)	)	PUNCT
fcis-8582	33	1	(	(	PUNCT
fcis-8582	33	2	(	(	PUNCT
fcis-8582	33	3	)	)	PUNCT
fcis-8582	33	4	(	(	PUNCT
fcis-8582	33	5	)	)	PUNCT
fcis-8582	33	6	)	)	PUNCT
fcis-8582	34	1	(	(	PUNCT
fcis-8582	34	2	)	)	PUNCT
fcis-8582	34	3	(	(	PUNCT
fcis-8582	34	4	)	)	PUNCT
fcis-8582	34	5	x	x	SYM
fcis-8582	34	6	i	i	NOUN
fcis-8582	34	7	x	x	X
fcis-8582	35	1	p	p	X
fcis-8582	35	2	x	x	X
fcis-8582	35	3	i	i	NOUN
fcis-8582	35	4	x	x	X
fcis-8582	35	5	q	q	PUNCT
fcis-8582	35	6	x	x	PUNCT
fcis-8582	35	7	i	i	NOUN
fcis-8582	35	8	x	x	SYM
fcis-8582	35	9	u	u	NOUN
fcis-8582	35	10	x	x	PROPN
fcis-8582	35	11	iv	iv	NUM
fcis-8582	35	12	x	x	PUNCT
fcis-8582	35	13			NOUN
fcis-8582	35	14			ADJ
fcis-8582	35	15			NOUN
fcis-8582	35	16			PROPN
fcis-8582	35	17			PROPN
fcis-8582	35	18			PROPN
fcis-8582	35	19			ADV
fcis-8582	35	20			VERB
fcis-8582	35	21			PUNCT
fcis-8582	35	22			PROPN
fcis-8582	35	23			PROPN
fcis-8582	35	24			PUNCT
fcis-8582	35	25	after	after	ADP
fcis-8582	35	26	simplification	simplification	NOUN
fcis-8582	35	27	,	,	PUNCT
fcis-8582	35	28	it	it	PRON
fcis-8582	35	29	is	be	AUX
fcis-8582	35	30	necessary	necessary	ADJ
fcis-8582	35	31	to	to	ADP
fcis-8582	35	32	[	[	PUNCT
fcis-8582	35	33	(	(	PUNCT
fcis-8582	35	34	)	)	PUNCT
fcis-8582	35	35	(	(	PUNCT
fcis-8582	35	36	)	)	PUNCT
fcis-8582	35	37	(	(	PUNCT
fcis-8582	35	38	)	)	PUNCT
fcis-8582	35	39	]	]	PUNCT
fcis-8582	36	1	[	[	PUNCT
fcis-8582	36	2	(	(	PUNCT
fcis-8582	36	3	)	)	PUNCT
fcis-8582	36	4	(	(	PUNCT
fcis-8582	36	5	)	)	PUNCT
fcis-8582	36	6	(	(	PUNCT
fcis-8582	36	7	)	)	PUNCT
fcis-8582	36	8	]	]	PUNCT
fcis-8582	36	9	(	(	PUNCT
fcis-8582	36	10	)	)	PUNCT
fcis-8582	36	11	(	(	PUNCT
fcis-8582	36	12	)	)	PUNCT
fcis-8582	36	13	x	x	X
fcis-8582	37	1	p	p	X
fcis-8582	37	2	x	x	X
fcis-8582	37	3	q	q	PUNCT
fcis-8582	37	4	x	x	PUNCT
fcis-8582	37	5	i	i	NOUN
fcis-8582	37	6	x	x	X
fcis-8582	37	7	p	p	X
fcis-8582	37	8	x	x	X
fcis-8582	37	9	q	q	PUNCT
fcis-8582	37	10	x	x	PUNCT
fcis-8582	37	11	u	u	NOUN
fcis-8582	37	12	x	x	PROPN
fcis-8582	37	13	iv	iv	NUM
fcis-8582	37	14	x	x	PUNCT
fcis-8582	37	15			ADJ
fcis-8582	37	16			ADJ
fcis-8582	37	17			NOUN
fcis-8582	37	18			NOUN
fcis-8582	37	19			PUNCT
fcis-8582	37	20			NUM
fcis-8582	37	21			PROPN
fcis-8582	37	22			VERB
fcis-8582	37	23			ADV
fcis-8582	37	24			PROPN
fcis-8582	37	25			VERB
fcis-8582	37	26			PROPN
fcis-8582	37	27			PROPN
fcis-8582	37	28			PUNCT
fcis-8582	37	29	thus	thus	ADV
fcis-8582	37	30	(	(	PUNCT
fcis-8582	37	31	)	)	PUNCT
fcis-8582	37	32	(	(	PUNCT
fcis-8582	37	33	)	)	PUNCT
fcis-8582	37	34	(	(	PUNCT
fcis-8582	37	35	)	)	PUNCT
fcis-8582	37	36	(	(	PUNCT
fcis-8582	37	37	)	)	PUNCT
fcis-8582	37	38	x	x	X
fcis-8582	38	1	p	p	X
fcis-8582	38	2	x	x	X
fcis-8582	38	3	q	q	PUNCT
fcis-8582	38	4	x	x	PUNCT
fcis-8582	38	5	u	u	NOUN
fcis-8582	38	6	x	x	PROPN
fcis-8582	38	7			PROPN
fcis-8582	38	8			NOUN
fcis-8582	38	9			PUNCT
fcis-8582	38	10			PROPN
fcis-8582	38	11			NUM
fcis-8582	38	12	(	(	PUNCT
fcis-8582	38	13	)	)	PUNCT
fcis-8582	38	14	(	(	PUNCT
fcis-8582	38	15	)	)	PUNCT
fcis-8582	38	16	(	(	PUNCT
fcis-8582	38	17	)	)	PUNCT
fcis-8582	38	18	(	(	PUNCT
fcis-8582	38	19	)	)	PUNCT
fcis-8582	38	20	x	x	X
fcis-8582	39	1	p	p	X
fcis-8582	39	2	x	x	X
fcis-8582	39	3	q	q	NOUN
fcis-8582	39	4	x	x	X
fcis-8582	39	5	v	v	ADP
fcis-8582	39	6	x	x	ADJ
fcis-8582	39	7			NOUN
fcis-8582	39	8			PUNCT
fcis-8582	39	9			NOUN
fcis-8582	39	10			VERB
fcis-8582	40	1			PROPN
fcis-8582	41	1	lemma4	lemma4	NOUN
fcis-8582	42	1	[	[	X
fcis-8582	42	2	5	5	NUM
fcis-8582	42	3	]	]	PUNCT
fcis-8582	42	4	:	:	PUNCT
fcis-8582	42	5	if	if	SCONJ
fcis-8582	42	6	in	in	ADP
fcis-8582	42	7	differential	differential	ADJ
fcis-8582	42	8	equation	equation	NOUN
fcis-8582	42	9	(	(	PUNCT
fcis-8582	42	10	1	1	NUM
fcis-8582	42	11	)	)	PUNCT
fcis-8582	42	12	,	,	PUNCT
fcis-8582	42	13	(	(	PUNCT
fcis-8582	42	14	)	)	PUNCT
fcis-8582	42	15	(	(	PUNCT
fcis-8582	42	16	)	)	PUNCT
fcis-8582	42	17	x	x	X
fcis-8582	42	18	mf	mf	X
fcis-8582	42	19	x	x	X
fcis-8582	42	20	e	e	NOUN
fcis-8582	42	21	p	p	X
fcis-8582	42	22	x	x	PROPN
fcis-8582	42	23	(	(	PUNCT
fcis-8582	42	24			X
fcis-8582	42	25	is	be	AUX
fcis-8582	42	26	a	a	DET
fcis-8582	42	27	real	real	ADJ
fcis-8582	42	28	number	number	NOUN
fcis-8582	42	29	,	,	PUNCT
fcis-8582	42	30	(	(	PUNCT
fcis-8582	42	31	)	)	PUNCT
fcis-8582	42	32	mp	mp	PROPN
fcis-8582	42	33	x	x	PUNCT
fcis-8582	42	34	is	be	AUX
fcis-8582	42	35	a	a	DET
fcis-8582	42	36	polynomial	polynomial	NOUN
fcis-8582	42	37	of	of	ADP
fcis-8582	42	38	degree	degree	NOUN
fcis-8582	42	39	m	m	PROPN
fcis-8582	42	40	)	)	PUNCT
fcis-8582	42	41	,	,	PUNCT
fcis-8582	42	42	then	then	ADV
fcis-8582	42	43	(	(	PUNCT
fcis-8582	42	44	1	1	X
fcis-8582	42	45	)	)	PUNCT
fcis-8582	42	46	has	have	VERB
fcis-8582	42	47	the	the	DET
fcis-8582	42	48	following	follow	VERB
fcis-8582	42	49	form	form	NOUN
fcis-8582	42	50	of	of	ADP
fcis-8582	42	51	special	special	ADJ
fcis-8582	42	52	solution	solution	NOUN
fcis-8582	42	53	*	*	PUNCT
fcis-8582	43	1	(	(	PUNCT
fcis-8582	43	2	)	)	PUNCT
fcis-8582	43	3	k	k	X
fcis-8582	43	4	x	x	PUNCT
fcis-8582	43	5	my	my	PRON
fcis-8582	43	6	x	x	X
fcis-8582	43	7	e	e	NOUN
fcis-8582	43	8	q	q	PROPN
fcis-8582	43	9	x	x	PROPN
fcis-8582	43	10	0	0	NUM
fcis-8582	43	11	,	,	PUNCT
fcis-8582	43	12	is	be	AUX
fcis-8582	43	13	n't	not	PART
fcis-8582	43	14	a	a	DET
fcis-8582	43	15	feature	feature	NOUN
fcis-8582	43	16	root	root	NOUN
fcis-8582	43	17	1	1	NUM
fcis-8582	43	18	,	,	PUNCT
fcis-8582	43	19	is	be	AUX
fcis-8582	43	20	a	a	DET
fcis-8582	43	21	single	single	ADJ
fcis-8582	43	22	feature	feature	NOUN
fcis-8582	43	23	root	root	NOUN
fcis-8582	43	24	2	2	NUM
fcis-8582	43	25	,	,	PUNCT
fcis-8582	43	26	is	be	AUX
fcis-8582	43	27	a	a	DET
fcis-8582	43	28	double	double	ADJ
fcis-8582	43	29	feature	feature	NOUN
fcis-8582	43	30	root	root	NOUN
fcis-8582	43	31	k	k	PROPN
fcis-8582	43	32			X
fcis-8582	43	33			ADJ
fcis-8582	43	34			X
fcis-8582	43	35			ADP
fcis-8582	43	36			PROPN
fcis-8582	43	37			NUM
fcis-8582	43	38			NUM
fcis-8582	43	39			PROPN
fcis-8582	43	40	(	(	PUNCT
fcis-8582	43	41	3	3	NUM
fcis-8582	43	42	)	)	PUNCT
fcis-8582	43	43	where	where	SCONJ
fcis-8582	43	44	(	(	PUNCT
fcis-8582	43	45	)	)	PUNCT
fcis-8582	43	46	mq	mq	PROPN
fcis-8582	43	47	x	x	X
fcis-8582	43	48	is	be	AUX
fcis-8582	43	49	a	a	DET
fcis-8582	43	50	m	m	NOUN
fcis-8582	43	51	degree	degree	NOUN
fcis-8582	43	52	polynomial	polynomial	ADJ
fcis-8582	43	53	with	with	ADP
fcis-8582	43	54	undetermined	undetermined	ADJ
fcis-8582	43	55	coefficients	coefficient	NOUN
fcis-8582	43	56	.	.	PUNCT
fcis-8582	44	1	lemma5	lemma5	X
fcis-8582	45	1	[	[	X
fcis-8582	45	2	5	5	NUM
fcis-8582	45	3	]	]	PUNCT
fcis-8582	45	4	:	:	PUNCT
fcis-8582	45	5	if	if	SCONJ
fcis-8582	45	6	in	in	ADP
fcis-8582	45	7	differential	differential	ADJ
fcis-8582	45	8	equation	equation	NOUN
fcis-8582	45	9	(	(	PUNCT
fcis-8582	45	10	1	1	NUM
fcis-8582	45	11	)	)	PUNCT
fcis-8582	45	12	,	,	PUNCT
fcis-8582	45	13	(	(	PUNCT
fcis-8582	45	14	)	)	PUNCT
fcis-8582	45	15	(	(	PUNCT
fcis-8582	45	16	cos	cos	PROPN
fcis-8582	45	17	cos	cos	PROPN
fcis-8582	45	18	)	)	PUNCT
fcis-8582	45	19	xf	xf	PROPN
fcis-8582	45	20	x	x	PROPN
fcis-8582	45	21	e	e	X
fcis-8582	45	22	a	a	DET
fcis-8582	45	23	x	x	SYM
fcis-8582	45	24	b	b	PROPN
fcis-8582	45	25	x	x	PROPN
fcis-8582	45	26			PROPN
fcis-8582	45	27			VERB
fcis-8582	45	28			PUNCT
fcis-8582	45	29	(	(	PUNCT
fcis-8582	45	30	,	,	PUNCT
fcis-8582	45	31	,	,	PUNCT
fcis-8582	45	32	,	,	PUNCT
fcis-8582	45	33	a	a	DET
fcis-8582	45	34	b	b	NOUN
fcis-8582	45	35			NOUN
fcis-8582	45	36	are	be	AUX
fcis-8582	45	37	all	all	PRON
fcis-8582	45	38	real	real	ADJ
fcis-8582	45	39	numbers	number	NOUN
fcis-8582	45	40	)	)	PUNCT
fcis-8582	45	41	,	,	PUNCT
fcis-8582	45	42	then	then	ADV
fcis-8582	45	43	(	(	PUNCT
fcis-8582	45	44	1	1	X
fcis-8582	45	45	)	)	PUNCT
fcis-8582	45	46	has	have	VERB
fcis-8582	45	47	the	the	DET
fcis-8582	45	48	following	follow	VERB
fcis-8582	45	49	form	form	NOUN
fcis-8582	45	50	of	of	ADP
fcis-8582	45	51	special	special	ADJ
fcis-8582	45	52	solution	solution	NOUN
fcis-8582	45	53	*	*	PUNCT
fcis-8582	46	1	(	(	PUNCT
fcis-8582	46	2	cos	cos	PROPN
fcis-8582	46	3	cos	cos	PROPN
fcis-8582	46	4	)	)	PUNCT
fcis-8582	46	5	k	k	PROPN
fcis-8582	47	1	xy	xy	NOUN
fcis-8582	47	2	x	x	PUNCT
fcis-8582	47	3	e	e	X
fcis-8582	47	4	a	a	DET
fcis-8582	47	5	x	x	SYM
fcis-8582	47	6	b	b	PROPN
fcis-8582	47	7	x	x	PROPN
fcis-8582	47	8			PROPN
fcis-8582	47	9			VERB
fcis-8582	47	10			PUNCT
fcis-8582	47	11	0	0	NUM
fcis-8582	47	12	,	,	PUNCT
fcis-8582	47	13	is	be	AUX
fcis-8582	47	14	n't	not	PART
fcis-8582	47	15	a	a	DET
fcis-8582	47	16	feature	feature	NOUN
fcis-8582	47	17	root	root	NOUN
fcis-8582	47	18	1	1	NUM
fcis-8582	47	19	,	,	PUNCT
fcis-8582	47	20	is	be	AUX
fcis-8582	47	21	a	a	DET
fcis-8582	47	22	single	single	ADJ
fcis-8582	47	23	feature	feature	NOUN
fcis-8582	47	24	root	root	NOUN
fcis-8582	48	1	i	i	PRON
fcis-8582	48	2	k	k	PROPN
fcis-8582	49	1	i	i	PRON
fcis-8582	49	2			NUM
fcis-8582	49	3			PROPN
fcis-8582	49	4			X
fcis-8582	49	5			PROPN
fcis-8582	49	6			NUM
fcis-8582	49	7			NOUN
fcis-8582	49	8			NOUN
fcis-8582	49	9			NOUN
fcis-8582	49	10	(	(	PUNCT
fcis-8582	49	11	4	4	X
fcis-8582	49	12	)	)	PUNCT
fcis-8582	49	13	where	where	SCONJ
fcis-8582	49	14	,	,	PUNCT
fcis-8582	49	15	a	a	DET
fcis-8582	49	16	b	b	NOUN
fcis-8582	49	17	are	be	AUX
fcis-8582	49	18	undetermined	undetermined	ADJ
fcis-8582	49	19	constants	constant	NOUN
fcis-8582	49	20	.	.	PUNCT
fcis-8582	50	1	lemma6	lemma6	NOUN
fcis-8582	51	1	[	[	X
fcis-8582	51	2	1	1	NUM
fcis-8582	51	3	]	]	X
fcis-8582	51	4	:	:	PUNCT
fcis-8582	51	5	if	if	SCONJ
fcis-8582	51	6	in	in	ADP
fcis-8582	51	7	differential	differential	ADJ
fcis-8582	51	8	equation	equation	NOUN
fcis-8582	51	9	(	(	PUNCT
fcis-8582	51	10	1	1	NUM
fcis-8582	51	11	)	)	PUNCT
fcis-8582	51	12	,	,	PUNCT
fcis-8582	51	13	(	(	PUNCT
fcis-8582	51	14	)	)	PUNCT
fcis-8582	51	15	[	[	PUNCT
fcis-8582	51	16	(	(	PUNCT
fcis-8582	51	17	)	)	PUNCT
fcis-8582	51	18	cos	cos	PROPN
fcis-8582	51	19	(	(	PUNCT
fcis-8582	51	20	)	)	PUNCT
fcis-8582	51	21	cos	cos	X
fcis-8582	51	22	]	]	X
fcis-8582	51	23	xf	xf	X
fcis-8582	51	24	x	x	PROPN
fcis-8582	51	25	e	e	PROPN
fcis-8582	51	26	a	a	X
fcis-8582	51	27	x	x	SYM
fcis-8582	51	28	x	x	SYM
fcis-8582	51	29	b	b	PROPN
fcis-8582	51	30	x	x	SYM
fcis-8582	51	31	x	x	PROPN
fcis-8582	51	32			PROPN
fcis-8582	51	33			VERB
fcis-8582	51	34			PUNCT
fcis-8582	51	35	(	(	PUNCT
fcis-8582	51	36	,	,	PUNCT
fcis-8582	51	37			NUM
fcis-8582	51	38			PROPN
fcis-8582	51	39	are	be	AUX
fcis-8582	51	40	real	real	ADJ
fcis-8582	51	41	numbers	number	NOUN
fcis-8582	51	42	,	,	PUNCT
fcis-8582	51	43	(	(	PUNCT
fcis-8582	51	44	)	)	PUNCT
fcis-8582	51	45	,	,	PUNCT
fcis-8582	51	46	(	(	PUNCT
fcis-8582	51	47	)	)	PUNCT
fcis-8582	51	48	a	a	DET
fcis-8582	51	49	x	x	SYM
fcis-8582	51	50	b	b	NOUN
fcis-8582	51	51	x	x	NOUN
fcis-8582	51	52	are	be	AUX
fcis-8582	51	53	real	real	ADJ
fcis-8582	51	54	coefficient	coefficient	NOUN
fcis-8582	51	55	polynomias	polynomia	NOUN
fcis-8582	51	56	,	,	PUNCT
fcis-8582	51	57	one	one	NUM
fcis-8582	51	58	of	of	ADP
fcis-8582	51	59	them	they	PRON
fcis-8582	51	60	frequency	frequency	NOUN
fcis-8582	51	61	is	be	AUX
fcis-8582	51	62	m	m	PRON
fcis-8582	51	63	,	,	PUNCT
fcis-8582	51	64	while	while	SCONJ
fcis-8582	51	65	the	the	DET
fcis-8582	51	66	other	other	ADJ
fcis-8582	51	67	frequency	frequency	NOUN
fcis-8582	51	68	does	do	AUX
fcis-8582	51	69	not	not	PART
fcis-8582	51	70	exceedm	exceedm	VERB
fcis-8582	51	71	)	)	PUNCT
fcis-8582	51	72	,	,	PUNCT
fcis-8582	51	73	then	then	ADV
fcis-8582	51	74	(	(	PUNCT
fcis-8582	51	75	1	1	X
fcis-8582	51	76	)	)	PUNCT
fcis-8582	51	77	has	have	VERB
fcis-8582	51	78	the	the	DET
fcis-8582	51	79	following	follow	VERB
fcis-8582	51	80	form	form	NOUN
fcis-8582	51	81	of	of	ADP
fcis-8582	51	82	special	special	ADJ
fcis-8582	51	83	solution	solution	NOUN
fcis-8582	51	84	*	*	PUNCT
fcis-8582	52	1	[	[	PUNCT
fcis-8582	52	2	(	(	PUNCT
fcis-8582	52	3	)	)	PUNCT
fcis-8582	52	4	cos	cos	PROPN
fcis-8582	52	5	(	(	PUNCT
fcis-8582	52	6	)	)	PUNCT
fcis-8582	52	7	sin	sin	NOUN
fcis-8582	52	8	]	]	X
fcis-8582	52	9	k	k	X
fcis-8582	53	1	xy	xy	NOUN
fcis-8582	53	2	x	x	PUNCT
fcis-8582	54	1	e	e	NOUN
fcis-8582	54	2	p	p	NOUN
fcis-8582	54	3	x	x	X
fcis-8582	54	4	x	x	X
fcis-8582	54	5	q	q	PUNCT
fcis-8582	54	6	x	x	X
fcis-8582	54	7	x	x	PROPN
fcis-8582	54	8			PROPN
fcis-8582	54	9			VERB
fcis-8582	54	10			PUNCT
fcis-8582	54	11	0	0	NUM
fcis-8582	54	12	,	,	PUNCT
fcis-8582	54	13	is	be	AUX
fcis-8582	54	14	n't	not	PART
fcis-8582	54	15	a	a	DET
fcis-8582	54	16	feature	feature	NOUN
fcis-8582	54	17	root	root	NOUN
fcis-8582	54	18	1	1	NUM
fcis-8582	54	19	,	,	PUNCT
fcis-8582	54	20	is	be	AUX
fcis-8582	54	21	a	a	DET
fcis-8582	54	22	single	single	ADJ
fcis-8582	54	23	feature	feature	NOUN
fcis-8582	54	24	root	root	NOUN
fcis-8582	55	1	i	i	PRON
fcis-8582	55	2	k	k	PROPN
fcis-8582	56	1	i	i	PRON
fcis-8582	56	2			NUM
fcis-8582	56	3			PROPN
fcis-8582	56	4			X
fcis-8582	56	5			PROPN
fcis-8582	56	6			NUM
fcis-8582	56	7			NOUN
fcis-8582	56	8			NOUN
fcis-8582	56	9			NOUN
fcis-8582	56	10	(	(	PUNCT
fcis-8582	56	11	5	5	NUM
fcis-8582	56	12	)	)	PUNCT
fcis-8582	56	13	where	where	SCONJ
fcis-8582	56	14	(	(	PUNCT
fcis-8582	56	15	)	)	PUNCT
fcis-8582	56	16	,	,	PUNCT
fcis-8582	56	17	(	(	PUNCT
fcis-8582	56	18	)	)	PUNCT
fcis-8582	56	19	p	p	NOUN
fcis-8582	56	20	x	x	X
fcis-8582	56	21	q	q	X
fcis-8582	56	22	x	x	X
fcis-8582	56	23	are	be	AUX
fcis-8582	56	24	the	the	DET
fcis-8582	56	25	real	real	ADJ
fcis-8582	56	26	coefficient	coefficient	NOUN
fcis-8582	56	27	polynomials	polynomial	NOUN
fcis-8582	56	28	with	with	ADP
fcis-8582	56	29	undetermined	undetermined	ADJ
fcis-8582	56	30	coefficients	coefficient	NOUN
fcis-8582	56	31	of	of	ADP
fcis-8582	56	32	degree	degree	NOUN
fcis-8582	56	33	max	max	PROPN
fcis-8582	56	34	{	{	PUNCT
fcis-8582	56	35	,	,	PUNCT
fcis-8582	56	36	}	}	PUNCT
fcis-8582	56	37	l	l	NOUN
fcis-8582	56	38	m	m	VERB
fcis-8582	56	39	n	n	NOUN
fcis-8582	56	40	.	.	PUNCT
fcis-8582	57	1	when	when	SCONJ
fcis-8582	57	2	the	the	DET
fcis-8582	57	3	non	non	ADJ
fcis-8582	57	4	-	-	ADJ
fcis-8582	57	5	homogeneous	homogeneous	ADJ
fcis-8582	57	6	term	term	NOUN
fcis-8582	57	7	(	(	PUNCT
fcis-8582	57	8	)	)	PUNCT
fcis-8582	57	9	f	f	PROPN
fcis-8582	57	10	x	x	X
fcis-8582	57	11	of	of	ADP
fcis-8582	57	12	differential	differential	ADJ
fcis-8582	57	13	equation	equation	NOUN
fcis-8582	57	14	(	(	PUNCT
fcis-8582	57	15	1	1	X
fcis-8582	57	16	)	)	PUNCT
fcis-8582	57	17	conforms	conform	VERB
fcis-8582	57	18	to	to	ADP
fcis-8582	57	19	the	the	DET
fcis-8582	57	20	characteristics	characteristic	NOUN
fcis-8582	57	21	of	of	ADP
fcis-8582	57	22	lemma	lemma	PROPN
fcis-8582	57	23	4lemma	4lemma	PROPN
fcis-8582	57	24	6	6	NUM
fcis-8582	57	25	,	,	PUNCT
fcis-8582	57	26	we	we	PRON
fcis-8582	57	27	can	can	AUX
fcis-8582	57	28	set	set	VERB
fcis-8582	57	29	the	the	DET
fcis-8582	57	30	expression	expression	NOUN
fcis-8582	57	31	for	for	ADP
fcis-8582	57	32	the	the	DET
fcis-8582	57	33	specific	specific	ADJ
fcis-8582	57	34	solution	solution	NOUN
fcis-8582	57	35	*	*	PUNCT
fcis-8582	57	36	y	y	PROPN
fcis-8582	57	37	,	,	PUNCT
fcis-8582	57	38	substitute	substitute	VERB
fcis-8582	57	39	it	it	PRON
fcis-8582	57	40	into	into	ADP
fcis-8582	57	41	the	the	DET
fcis-8582	57	42	original	original	ADJ
fcis-8582	57	43	equation	equation	NOUN
fcis-8582	57	44	and	and	CCONJ
fcis-8582	57	45	find	find	VERB
fcis-8582	57	46	the	the	DET
fcis-8582	57	47	undetermined	undetermined	ADJ
fcis-8582	57	48	constant	constant	NOUN
fcis-8582	57	49	.	.	PUNCT
fcis-8582	58	1	but	but	CCONJ
fcis-8582	58	2	we	we	PRON
fcis-8582	58	3	need	need	VERB
fcis-8582	58	4	to	to	PART
fcis-8582	58	5	consider	consider	VERB
fcis-8582	58	6	,	,	PUNCT
fcis-8582	58	7	first	first	ADV
fcis-8582	58	8	,	,	PUNCT
fcis-8582	58	9	the	the	DET
fcis-8582	58	10	expressions	expression	NOUN
fcis-8582	58	11	*	*	PUNCT
fcis-8582	59	1	*	*	PUNCT
fcis-8582	59	2	(	(	PUNCT
fcis-8582	59	3	)	)	PUNCT
fcis-8582	59	4	,	,	PUNCT
fcis-8582	59	5	(	(	PUNCT
fcis-8582	59	6	)	)	PUNCT
fcis-8582	59	7	y	y	NOUN
fcis-8582	59	8	y	y	PRON
fcis-8582	59	9			ADJ
fcis-8582	59	10	of	of	ADP
fcis-8582	59	11	the	the	DET
fcis-8582	59	12	solution	solution	NOUN
fcis-8582	59	13	*	*	PUNCT
fcis-8582	59	14	y	y	PROPN
fcis-8582	59	15	are	be	AUX
fcis-8582	59	16	given	give	VERB
fcis-8582	59	17	,	,	PUNCT
fcis-8582	59	18	then	then	ADV
fcis-8582	59	19	substitute	substitute	NOUN
fcis-8582	60	1	*	*	PUNCT
fcis-8582	61	1	*	*	PUNCT
fcis-8582	61	2	*	*	PUNCT
fcis-8582	61	3	(	(	PUNCT
fcis-8582	61	4	)	)	PUNCT
fcis-8582	61	5	,	,	PUNCT
fcis-8582	61	6	(	(	PUNCT
fcis-8582	61	7	)	)	PUNCT
fcis-8582	61	8	,	,	PUNCT
fcis-8582	61	9	y	y	PROPN
fcis-8582	61	10	y	y	PROPN
fcis-8582	61	11	y	y	PRON
fcis-8582	61	12			ADV
fcis-8582	61	13	into	into	ADP
fcis-8582	61	14	the	the	DET
fcis-8582	61	15	original	original	ADJ
fcis-8582	61	16	equation	equation	NOUN
fcis-8582	61	17	,	,	PUNCT
fcis-8582	61	18	however	however	ADV
fcis-8582	61	19	,	,	PUNCT
fcis-8582	61	20	at	at	ADP
fcis-8582	61	21	that	that	DET
fcis-8582	61	22	time	time	NOUN
fcis-8582	61	23	0k	0k	X
fcis-8582	61	24			NOUN
fcis-8582	61	25	,	,	PUNCT
fcis-8582	61	26	regardless	regardless	ADV
fcis-8582	61	27	of	of	ADP
fcis-8582	61	28	equation	equation	NOUN
fcis-8582	61	29	(	(	PUNCT
fcis-8582	61	30	3	3	NUM
fcis-8582	61	31	)	)	PUNCT
fcis-8582	61	32	,	,	PUNCT
fcis-8582	61	33	(	(	PUNCT
fcis-8582	61	34	4	4	NUM
fcis-8582	61	35	)	)	PUNCT
fcis-8582	61	36	,	,	PUNCT
fcis-8582	61	37	or	or	CCONJ
fcis-8582	61	38	(	(	PUNCT
fcis-8582	61	39	5	5	NUM
fcis-8582	61	40	)	)	PUNCT
fcis-8582	61	41	,	,	PUNCT
fcis-8582	61	42	their	their	PRON
fcis-8582	61	43	calculations	calculation	NOUN
fcis-8582	61	44	are	be	AUX
fcis-8582	61	45	very	very	ADV
fcis-8582	61	46	complex	complex	ADJ
fcis-8582	61	47	,	,	PUNCT
fcis-8582	61	48	so	so	SCONJ
fcis-8582	61	49	we	we	PRON
fcis-8582	61	50	need	need	VERB
fcis-8582	61	51	to	to	PART
fcis-8582	61	52	find	find	VERB
fcis-8582	61	53	a	a	DET
fcis-8582	61	54	simpler	simple	ADJ
fcis-8582	61	55	way	way	NOUN
fcis-8582	61	56	to	to	PART
fcis-8582	61	57	determine	determine	VERB
fcis-8582	61	58	the	the	DET
fcis-8582	61	59	undetermined	undetermined	ADJ
fcis-8582	61	60	constant	constant	NOUN
fcis-8582	61	61	in	in	ADP
fcis-8582	61	62	the	the	DET
fcis-8582	61	63	specific	specific	ADJ
fcis-8582	61	64	solution	solution	NOUN
fcis-8582	61	65	*	*	PUNCT
fcis-8582	61	66	y	y	PROPN
fcis-8582	61	67	.	.	PUNCT
fcis-8582	62	1	next	next	ADV
fcis-8582	62	2	,	,	PUNCT
fcis-8582	62	3	based	base	VERB
fcis-8582	62	4	on	on	ADP
fcis-8582	62	5	the	the	DET
fcis-8582	62	6	special	special	ADJ
fcis-8582	62	7	solutions	solution	NOUN
fcis-8582	62	8	set	set	VERB
fcis-8582	62	9	in	in	ADP
fcis-8582	62	10	lemma	lemma	PROPN
fcis-8582	62	11	4lemma	4lemma	PROPN
fcis-8582	62	12	6	6	NUM
fcis-8582	62	13	,	,	PUNCT
fcis-8582	62	14	conduct	conduct	VERB
fcis-8582	62	15	local	local	ADJ
fcis-8582	62	16	research	research	NOUN
fcis-8582	62	17	on	on	ADP
fcis-8582	62	18	it	it	PRON
fcis-8582	62	19	,	,	PUNCT
fcis-8582	62	20	and	and	CCONJ
fcis-8582	62	21	then	then	ADV
fcis-8582	62	22	determine	determine	VERB
fcis-8582	62	23	the	the	DET
fcis-8582	62	24	undetermined	undetermined	ADJ
fcis-8582	62	25	coefficients	coefficient	NOUN
fcis-8582	62	26	in	in	ADP
fcis-8582	62	27	the	the	DET
fcis-8582	62	28	special	special	ADJ
fcis-8582	62	29	solution	solution	NOUN
fcis-8582	62	30	.	.	PUNCT
fcis-8582	63	1	3	3	X
fcis-8582	63	2	.	.	X
fcis-8582	63	3	main	main	ADJ
fcis-8582	63	4	conclusion	conclusion	NOUN
fcis-8582	63	5	theorem1	theorem1	NOUN
fcis-8582	63	6	:	:	PUNCT
fcis-8582	63	7	for	for	ADP
fcis-8582	63	8	differential	differential	ADJ
fcis-8582	63	9	equation	equation	NOUN
fcis-8582	63	10	(	(	PUNCT
fcis-8582	63	11	1	1	NUM
fcis-8582	63	12	)	)	PUNCT
fcis-8582	63	13	,	,	PUNCT
fcis-8582	63	14	when	when	SCONJ
fcis-8582	63	15	(	(	PUNCT
fcis-8582	63	16	)	)	PUNCT
fcis-8582	63	17	(	(	PUNCT
fcis-8582	63	18	)	)	PUNCT
fcis-8582	63	19	x	x	X
fcis-8582	63	20	mf	mf	X
fcis-8582	63	21	x	x	X
fcis-8582	63	22	e	e	NOUN
fcis-8582	63	23	p	p	NOUN
fcis-8582	63	24	x	x	PROPN
fcis-8582	63	25	,	,	PUNCT
fcis-8582	63	26	there	there	PRON
fcis-8582	63	27	is	be	VERB
fcis-8582	63	28	a	a	DET
fcis-8582	63	29	special	special	ADJ
fcis-8582	63	30	solution	solution	NOUN
fcis-8582	63	31	*	*	PUNCT
fcis-8582	63	32	(	(	PUNCT
fcis-8582	63	33	)	)	PUNCT
fcis-8582	63	34	x	x	X
fcis-8582	64	1	k	k	NOUN
fcis-8582	64	2	my	my	PRON
fcis-8582	64	3	e	e	NOUN
fcis-8582	64	4	x	x	X
fcis-8582	64	5	q	q	X
fcis-8582	64	6	x	x	INTJ
fcis-8582	64	7	.	.	PUNCT
fcis-8582	65	1	let	let	VERB
fcis-8582	65	2	(	(	PUNCT
fcis-8582	65	3	)	)	PUNCT
fcis-8582	65	4	(	(	PUNCT
fcis-8582	65	5	)	)	PUNCT
fcis-8582	65	6	k	k	PROPN
fcis-8582	66	1	mr	mr	PROPN
fcis-8582	66	2	x	x	PUNCT
fcis-8582	66	3	x	x	X
fcis-8582	66	4	q	q	X
fcis-8582	66	5	x	x	X
fcis-8582	66	6	,	,	PUNCT
fcis-8582	66	7	then	then	ADV
fcis-8582	66	8	(	(	PUNCT
fcis-8582	66	9	)	)	PUNCT
fcis-8582	66	10	r	r	NOUN
fcis-8582	66	11	x	x	PRON
fcis-8582	66	12	satisfies	satisfy	VERB
fcis-8582	66	13	the	the	DET
fcis-8582	66	14	following	follow	VERB
fcis-8582	66	15	differential	differential	ADJ
fcis-8582	66	16	equation	equation	NOUN
fcis-8582	66	17	2	2	NUM
fcis-8582	66	18	(	(	PUNCT
fcis-8582	66	19	)	)	PUNCT
fcis-8582	66	20	(	(	PUNCT
fcis-8582	66	21	2	2	X
fcis-8582	66	22	)	)	PUNCT
fcis-8582	66	23	(	(	PUNCT
fcis-8582	66	24	)	)	PUNCT
fcis-8582	66	25	(	(	PUNCT
fcis-8582	66	26	)	)	PUNCT
fcis-8582	66	27	(	(	PUNCT
fcis-8582	66	28	)	)	PUNCT
fcis-8582	66	29	(	(	PUNCT
fcis-8582	66	30	)	)	PUNCT
fcis-8582	67	1	mr	mr	PROPN
fcis-8582	67	2	x	x	X
fcis-8582	67	3	p	p	X
fcis-8582	67	4	r	r	NOUN
fcis-8582	67	5	x	x	X
fcis-8582	67	6	p	p	NOUN
fcis-8582	67	7	q	q	NOUN
fcis-8582	67	8	r	r	NOUN
fcis-8582	67	9	x	x	PROPN
fcis-8582	67	10	p	p	X
fcis-8582	67	11	x	x	PROPN
fcis-8582	67	12			ADJ
fcis-8582	67	13			VERB
fcis-8582	67	14			PUNCT
fcis-8582	67	15			ADV
fcis-8582	67	16			PROPN
fcis-8582	67	17			PUNCT
fcis-8582	67	18			PROPN
fcis-8582	67	19			PROPN
fcis-8582	67	20	especially	especially	ADV
fcis-8582	67	21	,	,	PUNCT
fcis-8582	67	22	when	when	SCONJ
fcis-8582	67	23			ADJ
fcis-8582	67	24	is	be	AUX
fcis-8582	67	25	a	a	DET
fcis-8582	67	26	single	single	ADJ
fcis-8582	67	27	feature	feature	NOUN
fcis-8582	67	28	root	root	NOUN
fcis-8582	67	29	,	,	PUNCT
fcis-8582	67	30	then	then	ADV
fcis-8582	67	31	(	(	PUNCT
fcis-8582	67	32	)	)	PUNCT
fcis-8582	67	33	(	(	PUNCT
fcis-8582	67	34	2	2	X
fcis-8582	67	35	)	)	PUNCT
fcis-8582	67	36	(	(	PUNCT
fcis-8582	67	37	)	)	PUNCT
fcis-8582	67	38	(	(	PUNCT
fcis-8582	67	39	)	)	PUNCT
fcis-8582	67	40	mr	mr	PROPN
fcis-8582	67	41	x	x	X
fcis-8582	67	42	p	p	X
fcis-8582	67	43	r	r	NOUN
fcis-8582	67	44	x	x	X
fcis-8582	67	45	p	p	NOUN
fcis-8582	67	46	x	x	PROPN
fcis-8582	67	47			PROPN
fcis-8582	67	48			PROPN
fcis-8582	68	1			NUM
fcis-8582	68	2	;	;	PUNCT
fcis-8582	68	3	when	when	SCONJ
fcis-8582	68	4			ADJ
fcis-8582	68	5	is	be	AUX
fcis-8582	68	6	a	a	DET
fcis-8582	68	7	double	double	ADJ
fcis-8582	68	8	feature	feature	NOUN
fcis-8582	68	9	root	root	NOUN
fcis-8582	68	10	,	,	PUNCT
fcis-8582	68	11	then	then	ADV
fcis-8582	68	12	(	(	PUNCT
fcis-8582	68	13	)	)	PUNCT
fcis-8582	68	14	(	(	PUNCT
fcis-8582	68	15	)	)	PUNCT
fcis-8582	68	16	mr	mr	PROPN
fcis-8582	68	17	x	x	X
fcis-8582	68	18	p	p	NOUN
fcis-8582	68	19	x	x	PROPN
fcis-8582	69	1			NOUN
fcis-8582	69	2	.	.	PUNCT
fcis-8582	70	1	proof	proof	NOUN
fcis-8582	70	2	:	:	PUNCT
fcis-8582	70	3	since	since	SCONJ
fcis-8582	70	4	(	(	PUNCT
fcis-8582	70	5	1	1	X
fcis-8582	70	6	)	)	PUNCT
fcis-8582	70	7	have	have	VERB
fcis-8582	70	8	a	a	DET
fcis-8582	70	9	special	special	ADJ
fcis-8582	70	10	solution	solution	NOUN
fcis-8582	70	11	*	*	PUNCT
fcis-8582	70	12	(	(	PUNCT
fcis-8582	70	13	)	)	PUNCT
fcis-8582	70	14	xy	xy	PROPN
fcis-8582	71	1	e	e	NOUN
fcis-8582	71	2	r	r	NOUN
fcis-8582	71	3	x	x	PROPN
fcis-8582	71	4	,	,	PUNCT
fcis-8582	71	5	then	then	ADV
fcis-8582	71	6	(	(	PUNCT
fcis-8582	71	7	(	(	PUNCT
fcis-8582	71	8	)	)	PUNCT
fcis-8582	71	9	)	)	PUNCT
fcis-8582	72	1	(	(	PUNCT
fcis-8582	72	2	(	(	PUNCT
fcis-8582	72	3	)	)	PUNCT
fcis-8582	72	4	)	)	PUNCT
fcis-8582	72	5	(	(	PUNCT
fcis-8582	72	6	)	)	PUNCT
fcis-8582	72	7	(	(	PUNCT
fcis-8582	72	8	)	)	PUNCT
fcis-8582	72	9	x	x	SYM
fcis-8582	72	10	x	x	PUNCT
fcis-8582	72	11	x	x	PUNCT
fcis-8582	72	12	x	x	PUNCT
fcis-8582	72	13	me	i	PRON
fcis-8582	72	14	r	r	NOUN
fcis-8582	72	15	x	x	PUNCT
fcis-8582	72	16	p	p	X
fcis-8582	72	17	e	e	X
fcis-8582	72	18	r	r	NOUN
fcis-8582	72	19	x	x	PUNCT
fcis-8582	72	20	qe	qe	NOUN
fcis-8582	72	21	r	r	NOUN
fcis-8582	72	22	x	x	PUNCT
fcis-8582	72	23	e	e	X
fcis-8582	72	24	p	p	PROPN
fcis-8582	72	25	x	x	PROPN
fcis-8582	72	26			ADJ
fcis-8582	72	27			ADJ
fcis-8582	72	28			PROPN
fcis-8582	72	29			PUNCT
fcis-8582	72	30			VERB
fcis-8582	72	31			NUM
fcis-8582	72	32	further	far	ADV
fcis-8582	72	33	2	2	NUM
fcis-8582	72	34	[	[	PUNCT
fcis-8582	72	35	(	(	PUNCT
fcis-8582	72	36	)	)	PUNCT
fcis-8582	72	37	2	2	NUM
fcis-8582	72	38	(	(	PUNCT
fcis-8582	72	39	)	)	PUNCT
fcis-8582	72	40	(	(	PUNCT
fcis-8582	72	41	)	)	PUNCT
fcis-8582	72	42	]	]	PUNCT
fcis-8582	73	1	[	[	PUNCT
fcis-8582	73	2	(	(	PUNCT
fcis-8582	73	3	)	)	PUNCT
fcis-8582	73	4	(	(	PUNCT
fcis-8582	73	5	)	)	PUNCT
fcis-8582	73	6	]	]	PUNCT
fcis-8582	73	7	(	(	PUNCT
fcis-8582	73	8	)	)	PUNCT
fcis-8582	73	9	(	(	PUNCT
fcis-8582	73	10	)	)	PUNCT
fcis-8582	73	11	x	x	SYM
fcis-8582	73	12	x	x	PUNCT
fcis-8582	73	13	x	x	PUNCT
fcis-8582	73	14	x	x	PUNCT
fcis-8582	73	15	me	i	PRON
fcis-8582	73	16	r	r	NOUN
fcis-8582	73	17	x	x	PUNCT
fcis-8582	73	18	r	r	NOUN
fcis-8582	73	19	x	x	SYM
fcis-8582	73	20	r	r	NOUN
fcis-8582	73	21	x	x	X
fcis-8582	73	22	pe	pe	INTJ
fcis-8582	73	23	r	r	NOUN
fcis-8582	73	24	x	x	SYM
fcis-8582	73	25	r	r	NOUN
fcis-8582	73	26	x	x	PUNCT
fcis-8582	73	27	qe	qe	NOUN
fcis-8582	73	28	r	r	NOUN
fcis-8582	73	29	x	x	PUNCT
fcis-8582	73	30	e	e	X
fcis-8582	73	31	p	p	PROPN
fcis-8582	73	32	x	x	PROPN
fcis-8582	73	33			ADJ
fcis-8582	73	34			ADJ
fcis-8582	73	35			NOUN
fcis-8582	73	36			ADJ
fcis-8582	73	37			VERB
fcis-8582	73	38			ADJ
fcis-8582	73	39			PROPN
fcis-8582	73	40			ADV
fcis-8582	73	41			PROPN
fcis-8582	73	42			VERB
fcis-8582	73	43			PUNCT
fcis-8582	73	44			PRON
fcis-8582	73	45	simplify	simplify	VERB
fcis-8582	73	46	it	it	PRON
fcis-8582	73	47	further	far	ADV
fcis-8582	73	48	,	,	PUNCT
fcis-8582	73	49	and	and	CCONJ
fcis-8582	73	50	we	we	PRON
fcis-8582	73	51	can	can	AUX
fcis-8582	73	52	obtain	obtain	VERB
fcis-8582	73	53	2	2	NUM
fcis-8582	73	54	(	(	PUNCT
fcis-8582	73	55	)	)	PUNCT
fcis-8582	73	56	(	(	PUNCT
fcis-8582	73	57	2	2	X
fcis-8582	73	58	)	)	PUNCT
fcis-8582	73	59	(	(	PUNCT
fcis-8582	73	60	)	)	PUNCT
fcis-8582	73	61	(	(	PUNCT
fcis-8582	73	62	)	)	PUNCT
fcis-8582	73	63	(	(	PUNCT
fcis-8582	73	64	)	)	PUNCT
fcis-8582	73	65	(	(	PUNCT
fcis-8582	73	66	)	)	PUNCT
fcis-8582	74	1	mr	mr	PROPN
fcis-8582	74	2	x	x	X
fcis-8582	74	3	p	p	X
fcis-8582	74	4	r	r	NOUN
fcis-8582	74	5	x	x	X
fcis-8582	74	6	p	p	NOUN
fcis-8582	74	7	q	q	NOUN
fcis-8582	74	8	r	r	NOUN
fcis-8582	74	9	x	x	PROPN
fcis-8582	74	10	p	p	X
fcis-8582	74	11	x	x	PROPN
fcis-8582	74	12			ADJ
fcis-8582	74	13			VERB
fcis-8582	74	14			PUNCT
fcis-8582	74	15			ADV
fcis-8582	74	16			PROPN
fcis-8582	74	17			PUNCT
fcis-8582	74	18			PROPN
fcis-8582	74	19			PROPN
fcis-8582	74	20	when	when	SCONJ
fcis-8582	74	21			ADJ
fcis-8582	74	22	is	be	AUX
fcis-8582	74	23	a	a	DET
fcis-8582	74	24	single	single	ADJ
fcis-8582	74	25	feature	feature	NOUN
fcis-8582	74	26	root	root	NOUN
fcis-8582	74	27	,	,	PUNCT
fcis-8582	74	28	then	then	ADV
fcis-8582	74	29	2	2	NUM
fcis-8582	74	30	0,2	0,2	NUM
fcis-8582	74	31	0p	0p	NUM
fcis-8582	74	32	q	q	PROPN
fcis-8582	74	33	p	p	PROPN
fcis-8582	74	34			ADJ
fcis-8582	74	35			PROPN
fcis-8582	74	36			PROPN
fcis-8582	74	37			NUM
fcis-8582	74	38			PROPN
fcis-8582	74	39			PROPN
fcis-8582	74	40	.	.	PUNCT
fcis-8582	75	1	therefore	therefore	ADV
fcis-8582	75	2	(	(	PUNCT
fcis-8582	75	3	)	)	PUNCT
fcis-8582	75	4	(	(	PUNCT
fcis-8582	75	5	2	2	X
fcis-8582	75	6	)	)	PUNCT
fcis-8582	75	7	(	(	PUNCT
fcis-8582	75	8	)	)	PUNCT
fcis-8582	75	9	(	(	PUNCT
fcis-8582	75	10	)	)	PUNCT
fcis-8582	76	1	mr	mr	PROPN
fcis-8582	76	2	x	x	X
fcis-8582	76	3	p	p	X
fcis-8582	76	4	r	r	NOUN
fcis-8582	76	5	x	x	X
fcis-8582	76	6	p	p	NOUN
fcis-8582	76	7	x	x	PROPN
fcis-8582	76	8			PROPN
fcis-8582	76	9			PROPN
fcis-8582	76	10			NUM
fcis-8582	76	11	;	;	PUNCT
fcis-8582	76	12	when	when	SCONJ
fcis-8582	76	13			ADJ
fcis-8582	76	14	is	be	AUX
fcis-8582	76	15	a	a	DET
fcis-8582	76	16	double	double	ADJ
fcis-8582	76	17	feature	feature	NOUN
fcis-8582	76	18	root	root	NOUN
fcis-8582	76	19	,	,	PUNCT
fcis-8582	76	20	then	then	ADV
fcis-8582	76	21	2	2	NUM
fcis-8582	76	22	0,2	0,2	NUM
fcis-8582	76	23	0p	0p	NUM
fcis-8582	76	24	q	q	PROPN
fcis-8582	77	1	p	p	PROPN
fcis-8582	77	2			ADJ
fcis-8582	77	3			PROPN
fcis-8582	77	4			PROPN
fcis-8582	77	5			PROPN
fcis-8582	77	6			ADJ
fcis-8582	77	7			ADJ
fcis-8582	77	8	,	,	PUNCT
fcis-8582	77	9	therefore	therefore	ADV
fcis-8582	77	10	(	(	PUNCT
fcis-8582	77	11	)	)	PUNCT
fcis-8582	77	12	(	(	PUNCT
fcis-8582	77	13	)	)	PUNCT
fcis-8582	77	14	mr	mr	PROPN
fcis-8582	77	15	x	x	X
fcis-8582	77	16	p	p	NOUN
fcis-8582	77	17	x	x	PROPN
fcis-8582	77	18			INTJ
fcis-8582	77	19	.	.	PUNCT
fcis-8582	78	1	regardless	regardless	ADV
fcis-8582	78	2	of	of	ADP
fcis-8582	78	3	which	which	PRON
fcis-8582	78	4	of	of	ADP
fcis-8582	78	5	the	the	DET
fcis-8582	78	6	above	above	ADJ
fcis-8582	78	7	three	three	NUM
fcis-8582	78	8	situations	situation	NOUN
fcis-8582	78	9	occurs	occur	VERB
fcis-8582	78	10	,	,	PUNCT
fcis-8582	78	11	we	we	PRON
fcis-8582	78	12	can	can	AUX
fcis-8582	78	13	use	use	VERB
fcis-8582	78	14	the	the	DET
fcis-8582	78	15	coefficient	coefficient	ADJ
fcis-8582	78	16	comparison	comparison	NOUN
fcis-8582	78	17	method	method	NOUN
fcis-8582	78	18	to	to	PART
fcis-8582	78	19	find	find	VERB
fcis-8582	78	20	the	the	DET
fcis-8582	78	21	undetermined	undetermined	ADJ
fcis-8582	78	22	constant	constant	NOUN
fcis-8582	78	23	in	in	ADP
fcis-8582	78	24	(	(	PUNCT
fcis-8582	78	25	)	)	PUNCT
fcis-8582	78	26	r	r	NOUN
fcis-8582	78	27	x	x	NOUN
fcis-8582	78	28	and	and	CCONJ
fcis-8582	78	29	obtain	obtain	VERB
fcis-8582	78	30	a	a	DET
fcis-8582	78	31	specific	specific	ADJ
fcis-8582	78	32	solution	solution	NOUN
fcis-8582	78	33	.	.	PUNCT
fcis-8582	79	1	theorem2	theorem2	NOUN
fcis-8582	79	2	:	:	PUNCT
fcis-8582	79	3	for	for	ADP
fcis-8582	79	4	differential	differential	ADJ
fcis-8582	79	5	equation	equation	NOUN
fcis-8582	79	6	(	(	PUNCT
fcis-8582	79	7	1	1	NUM
fcis-8582	79	8	)	)	PUNCT
fcis-8582	79	9	,	,	PUNCT
fcis-8582	79	10	when	when	SCONJ
fcis-8582	79	11	(	(	PUNCT
fcis-8582	79	12	)	)	PUNCT
fcis-8582	79	13	(	(	PUNCT
fcis-8582	79	14	cos	cos	X
fcis-8582	79	15	sin	sin	PROPN
fcis-8582	79	16	)	)	PUNCT
fcis-8582	80	1	xf	xf	PROPN
fcis-8582	80	2	x	x	PROPN
fcis-8582	80	3	e	e	X
fcis-8582	80	4	a	a	DET
fcis-8582	80	5	x	x	SYM
fcis-8582	80	6	b	b	PROPN
fcis-8582	80	7	x	x	PROPN
fcis-8582	80	8			PROPN
fcis-8582	80	9			VERB
fcis-8582	80	10			ADV
fcis-8582	80	11	,	,	PUNCT
fcis-8582	80	12	there	there	PRON
fcis-8582	80	13	is	be	VERB
fcis-8582	80	14	a	a	DET
fcis-8582	80	15	special	special	ADJ
fcis-8582	80	16	solution	solution	NOUN
fcis-8582	80	17	*	*	PUNCT
fcis-8582	81	1	(	(	PUNCT
fcis-8582	81	2	cos	cos	ADP
fcis-8582	81	3	sin	sin	NOUN
fcis-8582	81	4	)	)	PUNCT
fcis-8582	82	1	k	k	NOUN
fcis-8582	83	1	xy	xy	NOUN
fcis-8582	83	2	x	x	PUNCT
fcis-8582	83	3	e	e	X
fcis-8582	83	4	a	a	DET
fcis-8582	83	5	x	x	SYM
fcis-8582	83	6	b	b	PROPN
fcis-8582	83	7	x	x	PROPN
fcis-8582	83	8			PROPN
fcis-8582	83	9			VERB
fcis-8582	83	10			PROPN
fcis-8582	83	11	.	.	PUNCT
fcis-8582	84	1	(	(	PUNCT
fcis-8582	84	2	i	i	NOUN
fcis-8582	84	3	)	)	PUNCT
fcis-8582	84	4	let	let	VERB
fcis-8582	84	5	(	(	PUNCT
fcis-8582	84	6	)	)	PUNCT
fcis-8582	84	7	2	2	NUM
fcis-8582	84	8	ka	ka	NOUN
fcis-8582	84	9	ib	ib	NOUN
fcis-8582	85	1	r	r	NOUN
fcis-8582	85	2	x	x	PROPN
fcis-8582	85	3	x	x	X
fcis-8582	85	4			PROPN
fcis-8582	85	5			NOUN
fcis-8582	85	6	,	,	PUNCT
fcis-8582	85	7	then	then	ADV
fcis-8582	85	8	(	(	PUNCT
fcis-8582	85	9	)	)	PUNCT
fcis-8582	85	10	r	r	NOUN
fcis-8582	85	11	x	x	PRON
fcis-8582	85	12	satisfies	satisfy	VERB
fcis-8582	85	13	the	the	DET
fcis-8582	85	14	following	follow	VERB
fcis-8582	85	15	differential	differential	ADJ
fcis-8582	85	16	equation	equation	NOUN
fcis-8582	85	17	2	2	NUM
fcis-8582	85	18	(	(	PUNCT
fcis-8582	85	19	)	)	PUNCT
fcis-8582	86	1	[	[	X
fcis-8582	86	2	2	2	NUM
fcis-8582	86	3	(	(	PUNCT
fcis-8582	86	4	)	)	PUNCT
fcis-8582	86	5	]	]	PUNCT
fcis-8582	86	6	(	(	PUNCT
fcis-8582	86	7	)	)	PUNCT
fcis-8582	87	1	[	[	X
fcis-8582	87	2	(	(	PUNCT
fcis-8582	87	3	)	)	PUNCT
fcis-8582	87	4	(	(	PUNCT
fcis-8582	87	5	)	)	PUNCT
fcis-8582	87	6	]	]	PUNCT
fcis-8582	87	7	(	(	PUNCT
fcis-8582	87	8	)	)	PUNCT
fcis-8582	87	9	2	2	NUM
fcis-8582	87	10	a	a	DET
fcis-8582	87	11	ib	ib	NOUN
fcis-8582	87	12	r	r	NOUN
fcis-8582	87	13	x	x	PROPN
fcis-8582	88	1	i	i	PRON
fcis-8582	88	2	p	p	NOUN
fcis-8582	88	3	r	r	NOUN
fcis-8582	88	4	x	x	PUNCT
fcis-8582	89	1	i	i	PRON
fcis-8582	89	2	p	p	X
fcis-8582	90	1	i	i	PRON
fcis-8582	90	2	q	q	NOUN
fcis-8582	90	3	r	r	NOUN
fcis-8582	90	4	x	x	PROPN
fcis-8582	90	5			PROPN
fcis-8582	90	6			NUM
fcis-8582	90	7			PROPN
fcis-8582	90	8			NOUN
fcis-8582	90	9			PROPN
fcis-8582	90	10			ADJ
fcis-8582	90	11			PUNCT
fcis-8582	91	1			VERB
fcis-8582	91	2			VERB
fcis-8582	91	3			PROPN
fcis-8582	91	4			PROPN
fcis-8582	91	5			PROPN
fcis-8582	91	6			VERB
fcis-8582	91	7			PROPN
fcis-8582	91	8			PROPN
fcis-8582	91	9	especially	especially	ADV
fcis-8582	91	10	,	,	PUNCT
fcis-8582	91	11	when	when	SCONJ
fcis-8582	91	12	i	i	PROPN
fcis-8582	91	13			PROPN
fcis-8582	91	14	is	be	AUX
fcis-8582	91	15	a	a	DET
fcis-8582	91	16	feature	feature	NOUN
fcis-8582	91	17	single	single	ADJ
fcis-8582	91	18	root	root	NOUN
fcis-8582	91	19	,	,	PUNCT
fcis-8582	91	20	then	then	ADV
fcis-8582	91	21	(	(	PUNCT
fcis-8582	91	22	)	)	PUNCT
fcis-8582	92	1	[	[	X
fcis-8582	92	2	2	2	NUM
fcis-8582	92	3	(	(	PUNCT
fcis-8582	92	4	)	)	PUNCT
fcis-8582	92	5	]	]	PUNCT
fcis-8582	92	6	(	(	PUNCT
fcis-8582	92	7	)	)	PUNCT
fcis-8582	92	8	2	2	NUM
fcis-8582	92	9	a	a	DET
fcis-8582	92	10	ib	ib	NOUN
fcis-8582	92	11	r	r	NOUN
fcis-8582	92	12	x	x	PROPN
fcis-8582	93	1	i	i	PRON
fcis-8582	93	2	p	p	NOUN
fcis-8582	93	3	r	r	NOUN
fcis-8582	93	4	x	x	PROPN
fcis-8582	93	5			PROPN
fcis-8582	93	6			ADJ
fcis-8582	93	7			NOUN
fcis-8582	93	8			VERB
fcis-8582	93	9			PROPN
fcis-8582	93	10			PROPN
fcis-8582	93	11	;	;	PUNCT
fcis-8582	93	12	(	(	PUNCT
fcis-8582	93	13	ii	ii	NOUN
fcis-8582	93	14	)	)	PUNCT
fcis-8582	93	15	let	let	VERB
fcis-8582	93	16	(	(	PUNCT
fcis-8582	93	17	)	)	PUNCT
fcis-8582	93	18	2	2	NUM
fcis-8582	93	19	ka	ka	NOUN
fcis-8582	93	20	ib	ib	NOUN
fcis-8582	93	21	r	r	NOUN
fcis-8582	93	22	x	x	PUNCT
fcis-8582	93	23	x	x	PUNCT
fcis-8582	93	24			NOUN
fcis-8582	93	25			ADV
fcis-8582	93	26	,	,	PUNCT
fcis-8582	93	27	then	then	ADV
fcis-8582	93	28	(	(	PUNCT
fcis-8582	93	29	)	)	PUNCT
fcis-8582	93	30	r	r	NOUN
fcis-8582	93	31	x	x	PRON
fcis-8582	93	32	satisfies	satisfy	VERB
fcis-8582	93	33	the	the	DET
fcis-8582	93	34	following	follow	VERB
fcis-8582	93	35	differential	differential	ADJ
fcis-8582	93	36	equation	equation	NOUN
fcis-8582	93	37	2	2	NUM
fcis-8582	93	38	(	(	PUNCT
fcis-8582	93	39	)	)	PUNCT
fcis-8582	94	1	[	[	X
fcis-8582	94	2	2	2	NUM
fcis-8582	94	3	(	(	PUNCT
fcis-8582	94	4	)	)	PUNCT
fcis-8582	94	5	]	]	PUNCT
fcis-8582	94	6	(	(	PUNCT
fcis-8582	94	7	)	)	PUNCT
fcis-8582	95	1	[	[	X
fcis-8582	95	2	(	(	PUNCT
fcis-8582	95	3	)	)	PUNCT
fcis-8582	95	4	(	(	PUNCT
fcis-8582	95	5	)	)	PUNCT
fcis-8582	95	6	]	]	PUNCT
fcis-8582	95	7	(	(	PUNCT
fcis-8582	95	8	)	)	PUNCT
fcis-8582	95	9	2	2	NUM
fcis-8582	95	10	a	a	DET
fcis-8582	95	11	ib	ib	NOUN
fcis-8582	95	12	r	r	NOUN
fcis-8582	95	13	x	x	PROPN
fcis-8582	96	1	i	i	PRON
fcis-8582	96	2	p	p	NOUN
fcis-8582	96	3	r	r	NOUN
fcis-8582	96	4	x	x	PUNCT
fcis-8582	97	1	i	i	PRON
fcis-8582	97	2	p	p	X
fcis-8582	98	1	i	i	PRON
fcis-8582	98	2	q	q	NOUN
fcis-8582	98	3	r	r	NOUN
fcis-8582	98	4	x	x	PROPN
fcis-8582	98	5			PROPN
fcis-8582	98	6			NUM
fcis-8582	98	7			PROPN
fcis-8582	98	8			X
fcis-8582	98	9			PROPN
fcis-8582	98	10			X
fcis-8582	98	11			PROPN
fcis-8582	98	12			PROPN
fcis-8582	98	13			ADV
fcis-8582	98	14			PUNCT
fcis-8582	98	15			PROPN
fcis-8582	98	16			VERB
fcis-8582	98	17			PROPN
fcis-8582	98	18			PROPN
fcis-8582	98	19			ADV
fcis-8582	98	20	especially	especially	ADV
fcis-8582	98	21	,	,	PUNCT
fcis-8582	98	22	when	when	SCONJ
fcis-8582	98	23	i	i	PROPN
fcis-8582	98	24			PROPN
fcis-8582	98	25	is	be	AUX
fcis-8582	98	26	a	a	DET
fcis-8582	98	27	feature	feature	NOUN
fcis-8582	98	28	single	single	ADJ
fcis-8582	98	29	root	root	NOUN
fcis-8582	98	30	,	,	PUNCT
fcis-8582	98	31	then	then	ADV
fcis-8582	98	32	(	(	PUNCT
fcis-8582	98	33	)	)	PUNCT
fcis-8582	99	1	[	[	X
fcis-8582	99	2	2	2	NUM
fcis-8582	99	3	(	(	PUNCT
fcis-8582	99	4	)	)	PUNCT
fcis-8582	99	5	]	]	PUNCT
fcis-8582	99	6	(	(	PUNCT
fcis-8582	99	7	)	)	PUNCT
fcis-8582	99	8	2	2	NUM
fcis-8582	99	9	a	a	DET
fcis-8582	99	10	ib	ib	NOUN
fcis-8582	99	11	r	r	NOUN
fcis-8582	99	12	x	x	PROPN
fcis-8582	100	1	i	i	PRON
fcis-8582	100	2	p	p	NOUN
fcis-8582	100	3	r	r	NOUN
fcis-8582	100	4	x	x	PROPN
fcis-8582	100	5			PROPN
fcis-8582	100	6			PROPN
fcis-8582	101	1			PROPN
fcis-8582	101	2			PROPN
fcis-8582	101	3			VERB
fcis-8582	101	4			PROPN
fcis-8582	101	5	.	.	PUNCT
fcis-8582	102	1	proof	proof	NOUN
fcis-8582	102	2	:	:	PUNCT
fcis-8582	102	3	by	by	ADP
fcis-8582	102	4	euler	euler	PROPN
fcis-8582	102	5	's	's	PART
fcis-8582	102	6	formula	formula	NOUN
fcis-8582	102	7	120	120	NUM
fcis-8582	102	8	(	(	PUNCT
fcis-8582	102	9	)	)	PUNCT
fcis-8582	102	10	(	(	PUNCT
fcis-8582	102	11	)	)	PUNCT
fcis-8582	102	12	(	(	PUNCT
fcis-8582	102	13	)	)	PUNCT
fcis-8582	102	14	(	(	PUNCT
fcis-8582	102	15	cos	cos	X
fcis-8582	102	16	sin	sin	NOUN
fcis-8582	102	17	)	)	PUNCT
fcis-8582	102	18	2	2	NUM
fcis-8582	102	19	2	2	NUM
fcis-8582	102	20	x	x	SYM
fcis-8582	102	21	i	i	NOUN
fcis-8582	102	22	x	x	VERB
fcis-8582	103	1	i	i	PRON
fcis-8582	103	2	xa	xa	PROPN
fcis-8582	103	3	ib	ib	PROPN
fcis-8582	103	4	a	a	DET
fcis-8582	103	5	ib	ib	NOUN
fcis-8582	103	6	f	f	NOUN
fcis-8582	103	7	x	x	PROPN
fcis-8582	103	8	e	e	X
fcis-8582	103	9	a	a	DET
fcis-8582	103	10	x	x	X
fcis-8582	103	11	b	b	PROPN
fcis-8582	103	12	x	x	SYM
fcis-8582	103	13	e	e	X
fcis-8582	103	14	e	e	X
fcis-8582	103	15			X
fcis-8582	103	16			NOUN
fcis-8582	103	17			NOUN
fcis-8582	103	18			ADJ
fcis-8582	103	19			PROPN
fcis-8582	103	20			X
fcis-8582	103	21			PROPN
fcis-8582	103	22			PROPN
fcis-8582	103	23			NUM
fcis-8582	103	24			ADV
fcis-8582	104	1			NOUN
fcis-8582	104	2			VERB
fcis-8582	104	3	in	in	ADP
fcis-8582	104	4	order	order	NOUN
fcis-8582	104	5	to	to	PART
fcis-8582	104	6	find	find	VERB
fcis-8582	104	7	special	special	ADJ
fcis-8582	104	8	solutions	solution	NOUN
fcis-8582	104	9	to	to	PART
fcis-8582	104	10	differential	differential	VERB
fcis-8582	104	11	equation	equation	NOUN
fcis-8582	104	12	(	(	PUNCT
fcis-8582	104	13	6	6	NUM
fcis-8582	104	14	)	)	PUNCT
fcis-8582	104	15	,	,	PUNCT
fcis-8582	104	16	(	(	PUNCT
fcis-8582	105	1	)	)	PUNCT
fcis-8582	105	2	(	(	PUNCT
fcis-8582	105	3	)	)	PUNCT
fcis-8582	105	4	2	2	NUM
fcis-8582	105	5	2	2	NUM
fcis-8582	105	6	i	i	NOUN
fcis-8582	105	7	x	x	VERB
fcis-8582	106	1	i	i	PRON
fcis-8582	106	2	xa	xa	PROPN
fcis-8582	106	3	ib	ib	PROPN
fcis-8582	106	4	a	a	DET
fcis-8582	106	5	ib	ib	NOUN
fcis-8582	106	6	y	y	PROPN
fcis-8582	106	7	py	py	PROPN
fcis-8582	106	8	qy	qy	PROPN
fcis-8582	106	9	e	e	PROPN
fcis-8582	106	10	e	e	PROPN
fcis-8582	106	11			PROPN
fcis-8582	106	12			X
fcis-8582	106	13			PART
fcis-8582	106	14			PROPN
fcis-8582	106	15			NUM
fcis-8582	106	16			PROPN
fcis-8582	106	17			PROPN
fcis-8582	107	1			NUM
fcis-8582	107	2			X
fcis-8582	107	3	(	(	PUNCT
fcis-8582	107	4	6	6	NUM
fcis-8582	107	5	)	)	PUNCT
fcis-8582	107	6	first	first	ADV
fcis-8582	107	7	,	,	PUNCT
fcis-8582	107	8	consider	consider	VERB
fcis-8582	107	9	special	special	ADJ
fcis-8582	107	10	solutions	solution	NOUN
fcis-8582	107	11	of	of	ADP
fcis-8582	107	12	the	the	DET
fcis-8582	107	13	following	follow	VERB
fcis-8582	107	14	two	two	NUM
fcis-8582	107	15	nonhomogeneous	nonhomogeneous	ADJ
fcis-8582	107	16	linear	linear	PROPN
fcis-8582	107	17	differential	differential	NOUN
fcis-8582	107	18	equations	equation	NOUN
fcis-8582	107	19	.	.	PUNCT
fcis-8582	108	1	(	(	PUNCT
fcis-8582	108	2	)	)	PUNCT
fcis-8582	108	3	2	2	NUM
fcis-8582	108	4	i	i	PRON
fcis-8582	108	5	xa	xa	PROPN
fcis-8582	108	6	ib	ib	PROPN
fcis-8582	108	7	y	y	PROPN
fcis-8582	108	8	py	py	PROPN
fcis-8582	108	9	qy	qy	PROPN
fcis-8582	108	10	e	e	PROPN
fcis-8582	108	11			X
fcis-8582	108	12			X
fcis-8582	108	13			PUNCT
fcis-8582	108	14			VERB
fcis-8582	109	1			NUM
fcis-8582	109	2	(	(	PUNCT
fcis-8582	109	3	7	7	NUM
fcis-8582	109	4	)	)	PUNCT
fcis-8582	109	5	(	(	PUNCT
fcis-8582	109	6	)	)	PUNCT
fcis-8582	109	7	2	2	NUM
fcis-8582	110	1	i	i	PRON
fcis-8582	110	2	xa	xa	PROPN
fcis-8582	111	1	ib	ib	PROPN
fcis-8582	111	2	y	y	PROPN
fcis-8582	111	3	py	py	PROPN
fcis-8582	111	4	qy	qy	PROPN
fcis-8582	111	5	e	e	PROPN
fcis-8582	111	6			NOUN
fcis-8582	111	7			X
fcis-8582	111	8			PUNCT
fcis-8582	111	9			VERB
fcis-8582	111	10			NUM
fcis-8582	112	1	(	(	PUNCT
fcis-8582	112	2	8)	8)	NUM
fcis-8582	112	3	we	we	PRON
fcis-8582	112	4	first	first	ADV
fcis-8582	112	5	notice	notice	VERB
fcis-8582	112	6	that	that	SCONJ
fcis-8582	113	1	(	(	PUNCT
fcis-8582	113	2	)	)	PUNCT
fcis-8582	113	3	(	(	PUNCT
fcis-8582	113	4	)	)	PUNCT
fcis-8582	113	5	2	2	NUM
fcis-8582	113	6	2	2	NUM
fcis-8582	113	7	i	i	NOUN
fcis-8582	113	8	x	x	VERB
fcis-8582	114	1	i	i	PRON
fcis-8582	114	2	xa	xa	PROPN
fcis-8582	114	3	ib	ib	PROPN
fcis-8582	114	4	a	a	DET
fcis-8582	114	5	ib	ib	X
fcis-8582	114	6	e	e	PROPN
fcis-8582	114	7	e	e	PROPN
fcis-8582	114	8			PROPN
fcis-8582	114	9			X
fcis-8582	114	10			ADP
fcis-8582	114	11			PROPN
fcis-8582	114	12			ADV
fcis-8582	114	13			NUM
fcis-8582	114	14	,	,	PUNCT
fcis-8582	114	15	if	if	SCONJ
fcis-8582	114	16	*	*	PUNCT
fcis-8582	114	17	1y	1y	PROPN
fcis-8582	114	18	is	be	AUX
fcis-8582	114	19	the	the	DET
fcis-8582	114	20	solution	solution	NOUN
fcis-8582	114	21	of	of	ADP
fcis-8582	114	22	differential	differential	ADJ
fcis-8582	114	23	equation	equation	NOUN
fcis-8582	114	24	(	(	PUNCT
fcis-8582	114	25	7),then	7),then	NUM
fcis-8582	114	26	*	*	PUNCT
fcis-8582	114	27	1y	1y	NOUN
fcis-8582	114	28	must	must	AUX
fcis-8582	114	29	be	be	AUX
fcis-8582	114	30	the	the	DET
fcis-8582	114	31	solution	solution	NOUN
fcis-8582	114	32	of	of	ADP
fcis-8582	114	33	differential	differential	ADJ
fcis-8582	114	34	equation	equation	NOUN
fcis-8582	114	35	(	(	PUNCT
fcis-8582	114	36	8),according	8),according	NOUN
fcis-8582	114	37	to	to	PART
fcis-8582	114	38	lemma	lemma	PROPN
fcis-8582	114	39	2,then	2,then	PROPN
fcis-8582	114	40	*	*	PUNCT
fcis-8582	115	1	*	*	PUNCT
fcis-8582	115	2	1	1	NUM
fcis-8582	115	3	1y	1y	NUM
fcis-8582	115	4	y	y	PROPN
fcis-8582	115	5	is	be	AUX
fcis-8582	115	6	the	the	DET
fcis-8582	115	7	solution	solution	NOUN
fcis-8582	115	8	of	of	ADP
fcis-8582	115	9	differential	differential	ADJ
fcis-8582	115	10	equation	equation	NOUN
fcis-8582	115	11	(	(	PUNCT
fcis-8582	115	12	6	6	NUM
fcis-8582	115	13	)	)	PUNCT
fcis-8582	115	14	.	.	PUNCT
fcis-8582	116	1	therefore	therefore	ADV
fcis-8582	116	2	,	,	PUNCT
fcis-8582	116	3	in	in	ADP
fcis-8582	116	4	the	the	DET
fcis-8582	116	5	actual	actual	ADJ
fcis-8582	116	6	solution	solution	NOUN
fcis-8582	116	7	process	process	NOUN
fcis-8582	116	8	,	,	PUNCT
fcis-8582	116	9	we	we	PRON
fcis-8582	116	10	only	only	ADV
fcis-8582	116	11	need	need	VERB
fcis-8582	116	12	to	to	PART
fcis-8582	116	13	find	find	VERB
fcis-8582	116	14	the	the	DET
fcis-8582	116	15	specific	specific	ADJ
fcis-8582	116	16	solution	solution	NOUN
fcis-8582	116	17	of	of	ADP
fcis-8582	116	18	one	one	NUM
fcis-8582	116	19	of	of	ADP
fcis-8582	116	20	(	(	PUNCT
fcis-8582	116	21	7	7	NUM
fcis-8582	116	22	)	)	PUNCT
fcis-8582	116	23	or	or	CCONJ
fcis-8582	116	24	(	(	PUNCT
fcis-8582	116	25	8)	8)	NUM
fcis-8582	116	26	,	,	PUNCT
fcis-8582	116	27	and	and	CCONJ
fcis-8582	116	28	determine	determine	VERB
fcis-8582	116	29	the	the	DET
fcis-8582	116	30	undetermined	undetermined	ADJ
fcis-8582	116	31	coefficient	coefficient	NOUN
fcis-8582	116	32	in	in	ADP
fcis-8582	116	33	the	the	DET
fcis-8582	116	34	specific	specific	ADJ
fcis-8582	116	35	solution	solution	NOUN
fcis-8582	116	36	to	to	PART
fcis-8582	116	37	obtain	obtain	VERB
fcis-8582	116	38	the	the	DET
fcis-8582	116	39	specific	specific	ADJ
fcis-8582	116	40	solution	solution	NOUN
fcis-8582	116	41	of	of	ADP
fcis-8582	116	42	the	the	DET
fcis-8582	116	43	original	original	ADJ
fcis-8582	116	44	equation	equation	NOUN
fcis-8582	116	45	(	(	PUNCT
fcis-8582	116	46	6	6	NUM
fcis-8582	116	47	)	)	PUNCT
fcis-8582	116	48	.	.	PUNCT
fcis-8582	117	1	according	accord	VERB
fcis-8582	117	2	to	to	ADP
fcis-8582	117	3	the	the	DET
fcis-8582	117	4	characteristics	characteristic	NOUN
fcis-8582	117	5	of	of	ADP
fcis-8582	117	6	the	the	DET
fcis-8582	117	7	non	non	ADJ
fcis-8582	117	8	-	-	ADJ
fcis-8582	117	9	homogeneous	homogeneous	ADJ
fcis-8582	117	10	term	term	NOUN
fcis-8582	117	11	in	in	ADP
fcis-8582	117	12	(	(	PUNCT
fcis-8582	117	13	6	6	NUM
fcis-8582	117	14	)	)	PUNCT
fcis-8582	117	15	,	,	PUNCT
fcis-8582	117	16	the	the	DET
fcis-8582	117	17	following	follow	VERB
fcis-8582	117	18	special	special	ADJ
fcis-8582	117	19	solution	solution	NOUN
fcis-8582	117	20	can	can	AUX
fcis-8582	117	21	be	be	AUX
fcis-8582	117	22	assumed	assume	VERB
fcis-8582	117	23	*	*	PUNCT
fcis-8582	117	24	(	(	PUNCT
fcis-8582	117	25	)	)	PUNCT
fcis-8582	117	26	(	(	PUNCT
fcis-8582	117	27	)	)	PUNCT
fcis-8582	117	28	2	2	NUM
fcis-8582	117	29	2	2	NUM
fcis-8582	118	1	k	k	NOUN
fcis-8582	118	2	i	i	NOUN
fcis-8582	118	3	x	x	PROPN
fcis-8582	119	1	k	k	NOUN
fcis-8582	119	2	i	i	PRON
fcis-8582	119	3	xa	xa	PROPN
fcis-8582	119	4	ib	ib	PROPN
fcis-8582	119	5	a	a	DET
fcis-8582	119	6	ib	ib	NOUN
fcis-8582	119	7	y	y	PROPN
fcis-8582	119	8	x	x	PUNCT
fcis-8582	119	9	e	e	X
fcis-8582	119	10	x	x	PROPN
fcis-8582	119	11	e	e	PROPN
fcis-8582	119	12			PROPN
fcis-8582	119	13			X
fcis-8582	119	14			ADP
fcis-8582	119	15			PROPN
fcis-8582	119	16			X
fcis-8582	119	17			NUM
fcis-8582	119	18			PUNCT
fcis-8582	119	19	where	where	SCONJ
fcis-8582	119	20	,	,	PUNCT
fcis-8582	119	21	a	a	DET
fcis-8582	119	22	b	b	NOUN
fcis-8582	119	23	are	be	AUX
fcis-8582	119	24	undetermined	undetermined	ADJ
fcis-8582	119	25	constants	constant	NOUN
fcis-8582	119	26	.	.	PUNCT
fcis-8582	120	1	the	the	DET
fcis-8582	120	2	following	follow	VERB
fcis-8582	120	3	are	be	AUX
fcis-8582	120	4	the	the	DET
fcis-8582	120	5	specific	specific	ADJ
fcis-8582	120	6	solutions	solution	NOUN
fcis-8582	120	7	for	for	ADP
fcis-8582	120	8	differential	differential	ADJ
fcis-8582	120	9	equations	equation	NOUN
fcis-8582	120	10	(	(	PUNCT
fcis-8582	120	11	7	7	NUM
fcis-8582	120	12	)	)	PUNCT
fcis-8582	120	13	and	and	CCONJ
fcis-8582	120	14	(	(	PUNCT
fcis-8582	120	15	8)	8)	NUM
fcis-8582	120	16	:	:	PUNCT
fcis-8582	120	17	(	(	PUNCT
fcis-8582	120	18	i)let	i)let	NOUN
fcis-8582	120	19	(	(	PUNCT
fcis-8582	120	20	)	)	PUNCT
fcis-8582	120	21	2	2	NUM
fcis-8582	121	1	ka	ka	NOUN
fcis-8582	121	2	ib	ib	NOUN
fcis-8582	121	3	r	r	NOUN
fcis-8582	121	4	x	x	PUNCT
fcis-8582	121	5	x	x	SYM
fcis-8582	121	6			NOUN
fcis-8582	121	7			PRON
fcis-8582	121	8	(	(	PUNCT
fcis-8582	121	9	,	,	PUNCT
fcis-8582	121	10	a	a	DET
fcis-8582	121	11	b	b	NOUN
fcis-8582	121	12	are	be	AUX
fcis-8582	121	13	undetermined	undetermined	ADJ
fcis-8582	121	14	)	)	PUNCT
fcis-8582	121	15	,	,	PUNCT
fcis-8582	121	16	and	and	CCONJ
fcis-8582	121	17	(	(	PUNCT
fcis-8582	121	18	)	)	PUNCT
fcis-8582	121	19	(	(	PUNCT
fcis-8582	121	20	)	)	PUNCT
fcis-8582	122	1	i	i	PRON
fcis-8582	122	2	xr	xr	NOUN
fcis-8582	122	3	x	x	PUNCT
fcis-8582	122	4	e	e	X
fcis-8582	122	5			NUM
fcis-8582	122	6			ADP
fcis-8582	122	7	satisfies	satisfie	NOUN
fcis-8582	122	8	differential	differential	ADJ
fcis-8582	122	9	equation	equation	NOUN
fcis-8582	122	10	(	(	PUNCT
fcis-8582	122	11	7	7	NUM
fcis-8582	122	12	)	)	PUNCT
fcis-8582	122	13	,	,	PUNCT
fcis-8582	122	14	since	since	SCONJ
fcis-8582	122	15	(	(	PUNCT
fcis-8582	122	16	)	)	PUNCT
fcis-8582	122	17	(	(	PUNCT
fcis-8582	122	18	)	)	PUNCT
fcis-8582	122	19	(	(	PUNCT
fcis-8582	122	20	)	)	PUNCT
fcis-8582	122	21	(	(	PUNCT
fcis-8582	122	22	)	)	PUNCT
fcis-8582	122	23	(	(	PUNCT
fcis-8582	122	24	(	(	PUNCT
fcis-8582	122	25	)	)	PUNCT
fcis-8582	122	26	)	)	PUNCT
fcis-8582	122	27	(	(	PUNCT
fcis-8582	122	28	(	(	PUNCT
fcis-8582	122	29	)	)	PUNCT
fcis-8582	122	30	)	)	PUNCT
fcis-8582	122	31	(	(	PUNCT
fcis-8582	122	32	)	)	PUNCT
fcis-8582	122	33	2	2	NUM
fcis-8582	123	1	i	i	NOUN
fcis-8582	123	2	x	x	VERB
fcis-8582	124	1	i	i	NOUN
fcis-8582	124	2	x	x	VERB
fcis-8582	125	1	i	i	NOUN
fcis-8582	125	2	x	x	VERB
fcis-8582	126	1	i	i	PRON
fcis-8582	126	2	xa	xa	PROPN
fcis-8582	126	3	ib	ib	NOUN
fcis-8582	126	4	e	e	PROPN
fcis-8582	126	5	r	r	NOUN
fcis-8582	126	6	x	x	PUNCT
fcis-8582	126	7	p	p	X
fcis-8582	126	8	e	e	X
fcis-8582	126	9	r	r	NOUN
fcis-8582	126	10	x	x	PUNCT
fcis-8582	126	11	qe	qe	NOUN
fcis-8582	126	12	r	r	NOUN
fcis-8582	126	13	x	x	PROPN
fcis-8582	126	14	e	e	PROPN
fcis-8582	126	15			PROPN
fcis-8582	126	16			NOUN
fcis-8582	126	17			PROPN
fcis-8582	126	18			NOUN
fcis-8582	126	19			PROPN
fcis-8582	126	20			NUM
fcis-8582	126	21			PROPN
fcis-8582	126	22			PROPN
fcis-8582	126	23			VERB
fcis-8582	126	24			VERB
fcis-8582	126	25			NOUN
fcis-8582	126	26			ADV
fcis-8582	126	27			PRON
fcis-8582	126	28	simplify	simplify	VERB
fcis-8582	126	29	it	it	PRON
fcis-8582	126	30	further	far	ADV
fcis-8582	126	31	,	,	PUNCT
fcis-8582	126	32	and	and	CCONJ
fcis-8582	126	33	we	we	PRON
fcis-8582	126	34	can	can	AUX
fcis-8582	126	35	obtain	obtain	VERB
fcis-8582	126	36	2	2	NUM
fcis-8582	126	37	(	(	PUNCT
fcis-8582	126	38	)	)	PUNCT
fcis-8582	127	1	[	[	X
fcis-8582	127	2	2	2	NUM
fcis-8582	127	3	(	(	PUNCT
fcis-8582	127	4	)	)	PUNCT
fcis-8582	127	5	]	]	PUNCT
fcis-8582	127	6	(	(	PUNCT
fcis-8582	127	7	)	)	PUNCT
fcis-8582	128	1	[	[	X
fcis-8582	128	2	(	(	PUNCT
fcis-8582	128	3	)	)	PUNCT
fcis-8582	128	4	(	(	PUNCT
fcis-8582	128	5	)	)	PUNCT
fcis-8582	128	6	]	]	PUNCT
fcis-8582	128	7	(	(	PUNCT
fcis-8582	128	8	)	)	PUNCT
fcis-8582	128	9	2	2	NUM
fcis-8582	128	10	a	a	DET
fcis-8582	128	11	ib	ib	NOUN
fcis-8582	128	12	r	r	NOUN
fcis-8582	128	13	x	x	PROPN
fcis-8582	129	1	i	i	PRON
fcis-8582	129	2	p	p	NOUN
fcis-8582	129	3	r	r	NOUN
fcis-8582	129	4	x	x	PUNCT
fcis-8582	130	1	i	i	PRON
fcis-8582	130	2	p	p	X
fcis-8582	131	1	i	i	PRON
fcis-8582	131	2	q	q	NOUN
fcis-8582	131	3	r	r	NOUN
fcis-8582	131	4	x	x	PROPN
fcis-8582	131	5			PROPN
fcis-8582	131	6			NUM
fcis-8582	131	7			PROPN
fcis-8582	131	8			NOUN
fcis-8582	131	9			PROPN
fcis-8582	131	10			ADJ
fcis-8582	131	11			PUNCT
fcis-8582	132	1			VERB
fcis-8582	132	2			VERB
fcis-8582	132	3			PROPN
fcis-8582	132	4			PROPN
fcis-8582	132	5			PROPN
fcis-8582	132	6			VERB
fcis-8582	132	7			PROPN
fcis-8582	132	8			PROPN
fcis-8582	132	9	especially	especially	ADV
fcis-8582	132	10	,	,	PUNCT
fcis-8582	132	11	when	when	SCONJ
fcis-8582	132	12	i	i	PROPN
fcis-8582	132	13			PROPN
fcis-8582	132	14	is	be	AUX
fcis-8582	132	15	a	a	DET
fcis-8582	132	16	single	single	ADJ
fcis-8582	132	17	feature	feature	NOUN
fcis-8582	132	18	root	root	NOUN
fcis-8582	132	19	,	,	PUNCT
fcis-8582	132	20	2	2	NUM
fcis-8582	132	21	(	(	PUNCT
fcis-8582	132	22	)	)	PUNCT
fcis-8582	132	23	(	(	PUNCT
fcis-8582	132	24	)	)	PUNCT
fcis-8582	132	25	0,i	0,i	PROPN
fcis-8582	133	1	p	p	X
fcis-8582	133	2	i	i	PRON
fcis-8582	133	3	q	q	PROPN
fcis-8582	133	4			PROPN
fcis-8582	133	5			PUNCT
fcis-8582	133	6			PROPN
fcis-8582	133	7			PROPN
fcis-8582	133	8			VERB
fcis-8582	133	9			PROPN
fcis-8582	134	1			ADV
fcis-8582	134	2	then	then	ADV
fcis-8582	134	3	(	(	PUNCT
fcis-8582	134	4	)	)	PUNCT
fcis-8582	135	1	[	[	X
fcis-8582	135	2	2	2	NUM
fcis-8582	135	3	(	(	PUNCT
fcis-8582	135	4	)	)	PUNCT
fcis-8582	135	5	]	]	PUNCT
fcis-8582	135	6	(	(	PUNCT
fcis-8582	135	7	)	)	PUNCT
fcis-8582	135	8	2	2	NUM
fcis-8582	135	9	a	a	DET
fcis-8582	135	10	ib	ib	NOUN
fcis-8582	135	11	r	r	NOUN
fcis-8582	135	12	x	x	PROPN
fcis-8582	136	1	i	i	PRON
fcis-8582	136	2	p	p	NOUN
fcis-8582	136	3	r	r	NOUN
fcis-8582	136	4	x	x	PROPN
fcis-8582	136	5			PROPN
fcis-8582	136	6			ADJ
fcis-8582	136	7			NOUN
fcis-8582	136	8			VERB
fcis-8582	136	9			VERB
fcis-8582	137	1			PROPN
fcis-8582	138	1	the	the	DET
fcis-8582	138	2	values	value	NOUN
fcis-8582	138	3	of	of	ADP
fcis-8582	138	4	a	a	PRON
fcis-8582	138	5	and	and	CCONJ
fcis-8582	138	6	b	b	NOUN
fcis-8582	138	7	can	can	AUX
fcis-8582	138	8	be	be	AUX
fcis-8582	138	9	obtained	obtain	VERB
fcis-8582	138	10	by	by	ADP
fcis-8582	138	11	the	the	DET
fcis-8582	138	12	coefficient	coefficient	NOUN
fcis-8582	138	13	method	method	NOUN
fcis-8582	138	14	,	,	PUNCT
fcis-8582	138	15	the	the	DET
fcis-8582	138	16	specific	specific	ADJ
fcis-8582	138	17	solution	solution	NOUN
fcis-8582	138	18	of	of	ADP
fcis-8582	138	19	equation	equation	NOUN
fcis-8582	138	20	(	(	PUNCT
fcis-8582	138	21	7	7	X
fcis-8582	138	22	)	)	PUNCT
fcis-8582	138	23	can	can	AUX
fcis-8582	138	24	be	be	AUX
fcis-8582	138	25	obtained	obtain	VERB
fcis-8582	138	26	,	,	PUNCT
fcis-8582	138	27	and	and	CCONJ
fcis-8582	138	28	then	then	ADV
fcis-8582	138	29	the	the	DET
fcis-8582	138	30	specific	specific	ADJ
fcis-8582	138	31	solution	solution	NOUN
fcis-8582	138	32	of	of	ADP
fcis-8582	138	33	equation	equation	NOUN
fcis-8582	138	34	(	(	PUNCT
fcis-8582	138	35	6	6	NUM
fcis-8582	138	36	)	)	PUNCT
fcis-8582	138	37	can	can	AUX
fcis-8582	138	38	be	be	AUX
fcis-8582	138	39	obtained	obtain	VERB
fcis-8582	138	40	.	.	PUNCT
fcis-8582	139	1	(	(	PUNCT
fcis-8582	139	2	ii)let	ii)let	PROPN
fcis-8582	139	3	(	(	PUNCT
fcis-8582	139	4	)	)	PUNCT
fcis-8582	139	5	2	2	NUM
fcis-8582	139	6	ka	ka	NOUN
fcis-8582	139	7	ib	ib	NOUN
fcis-8582	139	8	r	r	NOUN
fcis-8582	139	9	x	x	PROPN
fcis-8582	139	10	x	x	X
fcis-8582	139	11			ADV
fcis-8582	139	12			PROPN
fcis-8582	139	13	(	(	PUNCT
fcis-8582	139	14	,	,	PUNCT
fcis-8582	139	15	a	a	DET
fcis-8582	139	16	b	b	NOUN
fcis-8582	139	17	are	be	AUX
fcis-8582	139	18	undetermined	undetermined	ADJ
fcis-8582	139	19	)	)	PUNCT
fcis-8582	139	20	,	,	PUNCT
fcis-8582	139	21	and	and	CCONJ
fcis-8582	139	22	(	(	PUNCT
fcis-8582	139	23	)	)	PUNCT
fcis-8582	139	24	(	(	PUNCT
fcis-8582	139	25	)	)	PUNCT
fcis-8582	140	1	i	i	PRON
fcis-8582	140	2	xr	xr	NOUN
fcis-8582	140	3	x	x	PUNCT
fcis-8582	140	4	e	e	NOUN
fcis-8582	140	5			X
fcis-8582	140	6			PROPN
fcis-8582	140	7	satisfies	satisfy	VERB
fcis-8582	140	8	differential	differential	ADJ
fcis-8582	140	9	equations	equation	NOUN
fcis-8582	140	10	(	(	PUNCT
fcis-8582	140	11	8)	8)	NUM
fcis-8582	140	12	,	,	PUNCT
fcis-8582	140	13	since	since	SCONJ
fcis-8582	140	14	(	(	PUNCT
fcis-8582	140	15	)	)	PUNCT
fcis-8582	140	16	(	(	PUNCT
fcis-8582	140	17	)	)	PUNCT
fcis-8582	140	18	(	(	PUNCT
fcis-8582	140	19	)	)	PUNCT
fcis-8582	140	20	(	(	PUNCT
fcis-8582	140	21	)	)	PUNCT
fcis-8582	140	22	(	(	PUNCT
fcis-8582	140	23	(	(	PUNCT
fcis-8582	140	24	)	)	PUNCT
fcis-8582	140	25	)	)	PUNCT
fcis-8582	141	1	(	(	PUNCT
fcis-8582	141	2	(	(	PUNCT
fcis-8582	141	3	)	)	PUNCT
fcis-8582	141	4	)	)	PUNCT
fcis-8582	141	5	(	(	PUNCT
fcis-8582	141	6	)	)	PUNCT
fcis-8582	141	7	2	2	NUM
fcis-8582	141	8	i	i	NOUN
fcis-8582	141	9	x	x	VERB
fcis-8582	142	1	i	i	NOUN
fcis-8582	142	2	x	x	VERB
fcis-8582	143	1	i	i	NOUN
fcis-8582	143	2	x	x	VERB
fcis-8582	144	1	i	i	PRON
fcis-8582	144	2	xa	xa	PROPN
fcis-8582	144	3	ib	ib	NOUN
fcis-8582	144	4	e	e	PROPN
fcis-8582	144	5	r	r	NOUN
fcis-8582	144	6	x	x	PUNCT
fcis-8582	144	7	p	p	X
fcis-8582	144	8	e	e	X
fcis-8582	144	9	r	r	NOUN
fcis-8582	144	10	x	x	PUNCT
fcis-8582	144	11	qe	qe	NOUN
fcis-8582	144	12	r	r	NOUN
fcis-8582	144	13	x	x	PROPN
fcis-8582	144	14	e	e	PROPN
fcis-8582	144	15			PROPN
fcis-8582	144	16			NOUN
fcis-8582	144	17			PROPN
fcis-8582	144	18			NOUN
fcis-8582	144	19			PROPN
fcis-8582	144	20			NOUN
fcis-8582	144	21			PROPN
fcis-8582	144	22			PROPN
fcis-8582	144	23			PROPN
fcis-8582	144	24			PROPN
fcis-8582	144	25			X
fcis-8582	144	26			VERB
fcis-8582	144	27			NUM
fcis-8582	144	28	by	by	ADP
fcis-8582	144	29	simplifying	simplify	VERB
fcis-8582	144	30	it	it	PRON
fcis-8582	144	31	further	far	ADV
fcis-8582	144	32	,	,	PUNCT
fcis-8582	144	33	and	and	CCONJ
fcis-8582	144	34	we	we	PRON
fcis-8582	144	35	can	can	AUX
fcis-8582	144	36	obtain	obtain	VERB
fcis-8582	144	37	2	2	NUM
fcis-8582	144	38	(	(	PUNCT
fcis-8582	144	39	)	)	PUNCT
fcis-8582	145	1	[	[	X
fcis-8582	145	2	2	2	NUM
fcis-8582	145	3	(	(	PUNCT
fcis-8582	145	4	)	)	PUNCT
fcis-8582	145	5	]	]	PUNCT
fcis-8582	145	6	(	(	PUNCT
fcis-8582	145	7	)	)	PUNCT
fcis-8582	146	1	[	[	X
fcis-8582	146	2	(	(	PUNCT
fcis-8582	146	3	)	)	PUNCT
fcis-8582	146	4	(	(	PUNCT
fcis-8582	146	5	)	)	PUNCT
fcis-8582	146	6	]	]	PUNCT
fcis-8582	146	7	(	(	PUNCT
fcis-8582	146	8	)	)	PUNCT
fcis-8582	146	9	2	2	NUM
fcis-8582	146	10	a	a	DET
fcis-8582	146	11	ib	ib	NOUN
fcis-8582	146	12	r	r	NOUN
fcis-8582	146	13	x	x	PROPN
fcis-8582	147	1	i	i	PRON
fcis-8582	147	2	p	p	NOUN
fcis-8582	147	3	r	r	NOUN
fcis-8582	147	4	x	x	PUNCT
fcis-8582	148	1	i	i	PRON
fcis-8582	148	2	p	p	X
fcis-8582	149	1	i	i	PRON
fcis-8582	149	2	q	q	NOUN
fcis-8582	149	3	r	r	NOUN
fcis-8582	149	4	x	x	PROPN
fcis-8582	149	5			PROPN
fcis-8582	149	6			NUM
fcis-8582	149	7			PROPN
fcis-8582	149	8			X
fcis-8582	149	9			PROPN
fcis-8582	149	10			X
fcis-8582	149	11			PROPN
fcis-8582	149	12			PROPN
fcis-8582	149	13			ADV
fcis-8582	149	14			PUNCT
fcis-8582	149	15			PROPN
fcis-8582	149	16			VERB
fcis-8582	149	17			PROPN
fcis-8582	149	18			PROPN
fcis-8582	149	19			ADV
fcis-8582	149	20	especially	especially	ADV
fcis-8582	149	21	,	,	PUNCT
fcis-8582	149	22	when	when	SCONJ
fcis-8582	149	23	i	i	PROPN
fcis-8582	149	24			PROPN
fcis-8582	149	25	is	be	AUX
fcis-8582	149	26	a	a	DET
fcis-8582	149	27	single	single	ADJ
fcis-8582	149	28	feature	feature	NOUN
fcis-8582	149	29	root	root	NOUN
fcis-8582	149	30	,	,	PUNCT
fcis-8582	149	31	2	2	NUM
fcis-8582	149	32	(	(	PUNCT
fcis-8582	149	33	)	)	PUNCT
fcis-8582	149	34	(	(	PUNCT
fcis-8582	149	35	)	)	PUNCT
fcis-8582	149	36	0,i	0,i	PROPN
fcis-8582	150	1	p	p	X
fcis-8582	150	2	i	i	PRON
fcis-8582	150	3	q	q	PROPN
fcis-8582	150	4			PROPN
fcis-8582	150	5			X
fcis-8582	150	6			PROPN
fcis-8582	150	7			ADJ
fcis-8582	150	8			PROPN
fcis-8582	150	9			PROPN
fcis-8582	151	1			ADV
fcis-8582	151	2	then	then	ADV
fcis-8582	151	3	(	(	PUNCT
fcis-8582	151	4	)	)	PUNCT
fcis-8582	152	1	[	[	X
fcis-8582	152	2	2	2	NUM
fcis-8582	152	3	(	(	PUNCT
fcis-8582	152	4	)	)	PUNCT
fcis-8582	152	5	]	]	PUNCT
fcis-8582	152	6	(	(	PUNCT
fcis-8582	152	7	)	)	PUNCT
fcis-8582	152	8	2	2	NUM
fcis-8582	152	9	a	a	DET
fcis-8582	152	10	ib	ib	NOUN
fcis-8582	152	11	r	r	NOUN
fcis-8582	152	12	x	x	PROPN
fcis-8582	153	1	i	i	PRON
fcis-8582	153	2	p	p	NOUN
fcis-8582	153	3	r	r	NOUN
fcis-8582	153	4	x	x	PROPN
fcis-8582	153	5			PROPN
fcis-8582	153	6			PROPN
fcis-8582	154	1			PROPN
fcis-8582	154	2			PROPN
fcis-8582	154	3			VERB
fcis-8582	155	1			PRON
fcis-8582	156	1	the	the	DET
fcis-8582	156	2	values	value	NOUN
fcis-8582	156	3	of	of	ADP
fcis-8582	156	4	,	,	PUNCT
fcis-8582	156	5	a	a	DET
fcis-8582	156	6	b	b	NOUN
fcis-8582	156	7	can	can	AUX
fcis-8582	156	8	be	be	AUX
fcis-8582	156	9	obtained	obtain	VERB
fcis-8582	156	10	by	by	ADP
fcis-8582	156	11	the	the	DET
fcis-8582	156	12	coefficient	coefficient	NOUN
fcis-8582	156	13	method	method	NOUN
fcis-8582	156	14	,	,	PUNCT
fcis-8582	156	15	the	the	DET
fcis-8582	156	16	specific	specific	ADJ
fcis-8582	156	17	solution	solution	NOUN
fcis-8582	156	18	of	of	ADP
fcis-8582	156	19	equation	equation	NOUN
fcis-8582	156	20	(	(	PUNCT
fcis-8582	156	21	7	7	X
fcis-8582	156	22	)	)	PUNCT
fcis-8582	156	23	can	can	AUX
fcis-8582	156	24	be	be	AUX
fcis-8582	156	25	obtained	obtain	VERB
fcis-8582	156	26	,	,	PUNCT
fcis-8582	156	27	and	and	CCONJ
fcis-8582	156	28	then	then	ADV
fcis-8582	156	29	the	the	DET
fcis-8582	156	30	specific	specific	ADJ
fcis-8582	156	31	solution	solution	NOUN
fcis-8582	156	32	of	of	ADP
fcis-8582	156	33	equation	equation	NOUN
fcis-8582	156	34	(	(	PUNCT
fcis-8582	156	35	6	6	NUM
fcis-8582	156	36	)	)	PUNCT
fcis-8582	156	37	can	can	AUX
fcis-8582	156	38	be	be	AUX
fcis-8582	156	39	obtained	obtain	VERB
fcis-8582	156	40	.	.	PUNCT
fcis-8582	157	1	theorem3	theorem3	PROPN
fcis-8582	157	2	:	:	PUNCT
fcis-8582	157	3	for	for	ADP
fcis-8582	157	4	differential	differential	ADJ
fcis-8582	157	5	equation	equation	NOUN
fcis-8582	157	6	(	(	PUNCT
fcis-8582	157	7	1	1	NUM
fcis-8582	157	8	)	)	PUNCT
fcis-8582	157	9	,	,	PUNCT
fcis-8582	157	10	when	when	SCONJ
fcis-8582	157	11	(	(	PUNCT
fcis-8582	157	12	)	)	PUNCT
fcis-8582	157	13	[	[	PUNCT
fcis-8582	157	14	(	(	PUNCT
fcis-8582	157	15	)	)	PUNCT
fcis-8582	157	16	cos	cos	PROPN
fcis-8582	157	17	(	(	PUNCT
fcis-8582	157	18	)	)	PUNCT
fcis-8582	157	19	sin	sin	NOUN
fcis-8582	157	20	]	]	PUNCT
fcis-8582	157	21	xf	xf	PROPN
fcis-8582	157	22	x	x	PUNCT
fcis-8582	158	1	e	e	PROPN
fcis-8582	158	2	a	a	X
fcis-8582	158	3	x	x	SYM
fcis-8582	158	4	x	x	SYM
fcis-8582	158	5	b	b	PROPN
fcis-8582	158	6	x	x	SYM
fcis-8582	158	7	x	x	PROPN
fcis-8582	158	8			PROPN
fcis-8582	158	9			VERB
fcis-8582	158	10			X
fcis-8582	158	11	(	(	PUNCT
fcis-8582	158	12	where	where	SCONJ
fcis-8582	158	13	(	(	PUNCT
fcis-8582	158	14	)	)	PUNCT
fcis-8582	158	15	a	a	PRON
fcis-8582	158	16	x	x	PUNCT
fcis-8582	158	17	is	be	AUX
fcis-8582	158	18	m	m	NOUN
fcis-8582	158	19	degree	degree	NOUN
fcis-8582	158	20	real	real	ADJ
fcis-8582	158	21	coefficient	coefficient	NOUN
fcis-8582	158	22	polynomial	polynomial	ADJ
fcis-8582	158	23	,	,	PUNCT
fcis-8582	158	24	(	(	PUNCT
fcis-8582	158	25	)	)	PUNCT
fcis-8582	158	26	b	b	X
fcis-8582	158	27	x	x	X
fcis-8582	158	28	is	be	AUX
fcis-8582	158	29	n	n	PRON
fcis-8582	158	30	degree	degree	NOUN
fcis-8582	158	31	real	real	ADJ
fcis-8582	158	32	coefficient	coefficient	NOUN
fcis-8582	158	33	polynomial	polynomial	ADJ
fcis-8582	158	34	)	)	PUNCT
fcis-8582	158	35	,	,	PUNCT
fcis-8582	158	36	there	there	PRON
fcis-8582	158	37	is	be	VERB
fcis-8582	158	38	a	a	DET
fcis-8582	158	39	special	special	ADJ
fcis-8582	158	40	solution	solution	NOUN
fcis-8582	158	41	*	*	PUNCT
fcis-8582	159	1	[	[	PUNCT
fcis-8582	159	2	(	(	PUNCT
fcis-8582	159	3	)	)	PUNCT
fcis-8582	159	4	cos	cos	PROPN
fcis-8582	159	5	(	(	PUNCT
fcis-8582	159	6	)	)	PUNCT
fcis-8582	159	7	sin	sin	NOUN
fcis-8582	159	8	]	]	X
fcis-8582	159	9	k	k	X
fcis-8582	160	1	xy	xy	NOUN
fcis-8582	160	2	x	x	PUNCT
fcis-8582	161	1	e	e	NOUN
fcis-8582	161	2	p	p	NOUN
fcis-8582	161	3	x	x	X
fcis-8582	161	4	x	x	X
fcis-8582	161	5	q	q	PUNCT
fcis-8582	161	6	x	x	X
fcis-8582	161	7	x	x	PROPN
fcis-8582	161	8			PROPN
fcis-8582	161	9			VERB
fcis-8582	161	10			X
fcis-8582	161	11	(	(	PUNCT
fcis-8582	161	12	where	where	SCONJ
fcis-8582	161	13	(	(	PUNCT
fcis-8582	161	14	)	)	PUNCT
fcis-8582	161	15	,	,	PUNCT
fcis-8582	161	16	(	(	PUNCT
fcis-8582	161	17	)	)	PUNCT
fcis-8582	161	18	p	p	NOUN
fcis-8582	161	19	x	x	X
fcis-8582	161	20	q	q	NOUN
fcis-8582	161	21	x	x	X
fcis-8582	161	22	are	be	AUX
fcis-8582	161	23	real	real	ADJ
fcis-8582	161	24	coefficient	coefficient	NOUN
fcis-8582	161	25	polynomials	polynomial	NOUN
fcis-8582	161	26	with	with	ADP
fcis-8582	161	27	undetermined	undetermined	ADJ
fcis-8582	161	28	coefficients	coefficient	NOUN
fcis-8582	161	29	of	of	ADP
fcis-8582	161	30	degree	degree	NOUN
fcis-8582	161	31	max	max	PROPN
fcis-8582	161	32	{	{	PUNCT
fcis-8582	161	33	,	,	PUNCT
fcis-8582	161	34	}	}	PUNCT
fcis-8582	161	35	l	l	NOUN
fcis-8582	161	36	m	m	VERB
fcis-8582	161	37	n	n	NOUN
fcis-8582	161	38	)	)	PUNCT
fcis-8582	161	39	(	(	PUNCT
fcis-8582	161	40	i	i	NOUN
fcis-8582	161	41	)	)	PUNCT
fcis-8582	161	42	let	let	VERB
fcis-8582	161	43	(	(	PUNCT
fcis-8582	161	44	)	)	PUNCT
fcis-8582	161	45	(	(	PUNCT
fcis-8582	161	46	)	)	PUNCT
fcis-8582	161	47	(	(	PUNCT
fcis-8582	161	48	)	)	PUNCT
fcis-8582	161	49	2	2	NUM
fcis-8582	161	50	kp	kp	NOUN
fcis-8582	161	51	x	x	X
fcis-8582	161	52	iq	iq	NOUN
fcis-8582	161	53	x	x	X
fcis-8582	162	1	r	r	NOUN
fcis-8582	162	2	x	x	PUNCT
fcis-8582	162	3	x	x	PUNCT
fcis-8582	162	4			NOUN
fcis-8582	162	5			ADV
fcis-8582	162	6	,	,	PUNCT
fcis-8582	162	7	then	then	ADV
fcis-8582	162	8	(	(	PUNCT
fcis-8582	162	9	)	)	PUNCT
fcis-8582	162	10	r	r	NOUN
fcis-8582	162	11	x	x	PRON
fcis-8582	162	12	satisfies	satisfy	VERB
fcis-8582	162	13	the	the	DET
fcis-8582	162	14	following	follow	VERB
fcis-8582	162	15	differential	differential	ADJ
fcis-8582	162	16	equation	equation	NOUN
fcis-8582	162	17	2	2	NUM
fcis-8582	162	18	(	(	PUNCT
fcis-8582	162	19	)	)	PUNCT
fcis-8582	162	20	(	(	PUNCT
fcis-8582	162	21	)	)	PUNCT
fcis-8582	162	22	(	(	PUNCT
fcis-8582	162	23	)	)	PUNCT
fcis-8582	163	1	[	[	X
fcis-8582	163	2	2	2	NUM
fcis-8582	163	3	(	(	PUNCT
fcis-8582	163	4	)	)	PUNCT
fcis-8582	163	5	]	]	PUNCT
fcis-8582	163	6	(	(	PUNCT
fcis-8582	163	7	)	)	PUNCT
fcis-8582	164	1	[	[	X
fcis-8582	164	2	(	(	PUNCT
fcis-8582	164	3	)	)	PUNCT
fcis-8582	164	4	(	(	PUNCT
fcis-8582	164	5	)	)	PUNCT
fcis-8582	164	6	]	]	PUNCT
fcis-8582	164	7	(	(	PUNCT
fcis-8582	164	8	)	)	PUNCT
fcis-8582	164	9	2	2	NUM
fcis-8582	164	10	a	a	PRON
fcis-8582	164	11	x	x	NOUN
fcis-8582	164	12	ib	ib	NOUN
fcis-8582	164	13	x	x	NOUN
fcis-8582	164	14	r	r	NOUN
fcis-8582	164	15	x	x	PUNCT
fcis-8582	165	1	i	i	PRON
fcis-8582	165	2	p	p	NOUN
fcis-8582	165	3	r	r	NOUN
fcis-8582	165	4	x	x	PUNCT
fcis-8582	166	1	i	i	PRON
fcis-8582	166	2	p	p	X
fcis-8582	167	1	i	i	PRON
fcis-8582	167	2	q	q	NOUN
fcis-8582	167	3	r	r	NOUN
fcis-8582	167	4	x	x	PROPN
fcis-8582	167	5			PROPN
fcis-8582	167	6			NUM
fcis-8582	167	7			PROPN
fcis-8582	167	8			NOUN
fcis-8582	167	9			PROPN
fcis-8582	167	10			ADJ
fcis-8582	167	11			PUNCT
fcis-8582	168	1			VERB
fcis-8582	168	2			VERB
fcis-8582	168	3			PROPN
fcis-8582	168	4			PROPN
fcis-8582	168	5			PROPN
fcis-8582	168	6			VERB
fcis-8582	168	7			PROPN
fcis-8582	168	8			PROPN
fcis-8582	168	9	especially	especially	ADV
fcis-8582	168	10	,	,	PUNCT
fcis-8582	168	11	when	when	SCONJ
fcis-8582	168	12	i	i	PROPN
fcis-8582	168	13			PROPN
fcis-8582	168	14	is	be	AUX
fcis-8582	168	15	a	a	DET
fcis-8582	168	16	feature	feature	NOUN
fcis-8582	168	17	single	single	ADJ
fcis-8582	168	18	root	root	NOUN
fcis-8582	168	19	,	,	PUNCT
fcis-8582	168	20	then	then	ADV
fcis-8582	168	21	(	(	PUNCT
fcis-8582	168	22	)	)	PUNCT
fcis-8582	168	23	(	(	PUNCT
fcis-8582	168	24	)	)	PUNCT
fcis-8582	168	25	(	(	PUNCT
fcis-8582	168	26	)	)	PUNCT
fcis-8582	169	1	[	[	X
fcis-8582	169	2	2	2	NUM
fcis-8582	169	3	(	(	PUNCT
fcis-8582	169	4	)	)	PUNCT
fcis-8582	169	5	]	]	PUNCT
fcis-8582	169	6	(	(	PUNCT
fcis-8582	169	7	)	)	PUNCT
fcis-8582	169	8	2	2	NUM
fcis-8582	169	9	a	a	PRON
fcis-8582	169	10	x	x	NOUN
fcis-8582	169	11	ib	ib	NOUN
fcis-8582	169	12	x	x	NOUN
fcis-8582	169	13	r	r	NOUN
fcis-8582	169	14	x	x	PUNCT
fcis-8582	170	1	i	i	PRON
fcis-8582	170	2	p	p	NOUN
fcis-8582	170	3	r	r	NOUN
fcis-8582	170	4	x	x	PROPN
fcis-8582	170	5			PROPN
fcis-8582	170	6			ADJ
fcis-8582	170	7			NOUN
fcis-8582	170	8			VERB
fcis-8582	170	9			PROPN
fcis-8582	170	10			PROPN
fcis-8582	170	11	;	;	PUNCT
fcis-8582	170	12	(	(	PUNCT
fcis-8582	170	13	ii	ii	NOUN
fcis-8582	170	14	)	)	PUNCT
fcis-8582	170	15	let	let	VERB
fcis-8582	170	16	(	(	PUNCT
fcis-8582	170	17	)	)	PUNCT
fcis-8582	170	18	(	(	PUNCT
fcis-8582	170	19	)	)	PUNCT
fcis-8582	170	20	(	(	PUNCT
fcis-8582	170	21	)	)	PUNCT
fcis-8582	170	22	2	2	NUM
fcis-8582	170	23	kp	kp	NOUN
fcis-8582	170	24	x	x	X
fcis-8582	170	25	iq	iq	NOUN
fcis-8582	170	26	x	x	X
fcis-8582	171	1	r	r	NOUN
fcis-8582	171	2	x	x	PUNCT
fcis-8582	171	3	x	x	X
fcis-8582	171	4			PROPN
fcis-8582	171	5			NOUN
fcis-8582	171	6	,	,	PUNCT
fcis-8582	171	7	then	then	ADV
fcis-8582	171	8	(	(	PUNCT
fcis-8582	171	9	)	)	PUNCT
fcis-8582	171	10	r	r	NOUN
fcis-8582	171	11	x	x	PRON
fcis-8582	171	12	satisfies	satisfy	VERB
fcis-8582	171	13	the	the	DET
fcis-8582	171	14	following	follow	VERB
fcis-8582	171	15	differential	differential	ADJ
fcis-8582	171	16	equation	equation	NOUN
fcis-8582	171	17	2	2	NUM
fcis-8582	171	18	(	(	PUNCT
fcis-8582	171	19	)	)	PUNCT
fcis-8582	171	20	(	(	PUNCT
fcis-8582	171	21	)	)	PUNCT
fcis-8582	171	22	(	(	PUNCT
fcis-8582	171	23	)	)	PUNCT
fcis-8582	172	1	[	[	X
fcis-8582	172	2	2	2	NUM
fcis-8582	172	3	(	(	PUNCT
fcis-8582	172	4	)	)	PUNCT
fcis-8582	172	5	]	]	PUNCT
fcis-8582	172	6	(	(	PUNCT
fcis-8582	172	7	)	)	PUNCT
fcis-8582	173	1	[	[	X
fcis-8582	173	2	(	(	PUNCT
fcis-8582	173	3	)	)	PUNCT
fcis-8582	173	4	(	(	PUNCT
fcis-8582	173	5	)	)	PUNCT
fcis-8582	173	6	]	]	PUNCT
fcis-8582	173	7	(	(	PUNCT
fcis-8582	173	8	)	)	PUNCT
fcis-8582	173	9	2	2	NUM
fcis-8582	173	10	a	a	PRON
fcis-8582	173	11	x	x	NOUN
fcis-8582	173	12	ib	ib	NOUN
fcis-8582	173	13	x	x	NOUN
fcis-8582	173	14	r	r	NOUN
fcis-8582	173	15	x	x	PUNCT
fcis-8582	174	1	i	i	PRON
fcis-8582	174	2	p	p	NOUN
fcis-8582	174	3	r	r	NOUN
fcis-8582	174	4	x	x	PUNCT
fcis-8582	175	1	i	i	PRON
fcis-8582	175	2	p	p	X
fcis-8582	176	1	i	i	PRON
fcis-8582	176	2	q	q	NOUN
fcis-8582	176	3	r	r	NOUN
fcis-8582	176	4	x	x	PROPN
fcis-8582	176	5			PROPN
fcis-8582	176	6			NUM
fcis-8582	176	7			PROPN
fcis-8582	176	8			X
fcis-8582	176	9			PROPN
fcis-8582	176	10			X
fcis-8582	176	11			PROPN
fcis-8582	176	12			PROPN
fcis-8582	176	13			ADV
fcis-8582	176	14			PUNCT
fcis-8582	176	15			PROPN
fcis-8582	176	16			VERB
fcis-8582	176	17			PROPN
fcis-8582	176	18			PROPN
fcis-8582	176	19			ADV
fcis-8582	176	20	especially	especially	ADV
fcis-8582	176	21	,	,	PUNCT
fcis-8582	176	22	when	when	SCONJ
fcis-8582	176	23	i	i	PROPN
fcis-8582	176	24			PROPN
fcis-8582	176	25	is	be	AUX
fcis-8582	176	26	a	a	DET
fcis-8582	176	27	single	single	ADJ
fcis-8582	176	28	feature	feature	NOUN
fcis-8582	176	29	root	root	NOUN
fcis-8582	176	30	,	,	PUNCT
fcis-8582	176	31	then	then	ADV
fcis-8582	176	32	(	(	PUNCT
fcis-8582	176	33	)	)	PUNCT
fcis-8582	176	34	(	(	PUNCT
fcis-8582	176	35	)	)	PUNCT
fcis-8582	176	36	(	(	PUNCT
fcis-8582	176	37	)	)	PUNCT
fcis-8582	177	1	[	[	X
fcis-8582	177	2	2	2	NUM
fcis-8582	177	3	(	(	PUNCT
fcis-8582	177	4	)	)	PUNCT
fcis-8582	177	5	]	]	PUNCT
fcis-8582	177	6	(	(	PUNCT
fcis-8582	177	7	)	)	PUNCT
fcis-8582	177	8	2	2	NUM
fcis-8582	177	9	a	a	PRON
fcis-8582	177	10	x	x	NOUN
fcis-8582	177	11	ib	ib	NOUN
fcis-8582	177	12	x	x	NOUN
fcis-8582	177	13	r	r	NOUN
fcis-8582	177	14	x	x	PUNCT
fcis-8582	178	1	i	i	PRON
fcis-8582	178	2	p	p	NOUN
fcis-8582	178	3	r	r	NOUN
fcis-8582	178	4	x	x	PROPN
fcis-8582	178	5			PROPN
fcis-8582	178	6			PROPN
fcis-8582	179	1			PROPN
fcis-8582	179	2			PROPN
fcis-8582	179	3			VERB
fcis-8582	179	4			DET
fcis-8582	179	5	the	the	DET
fcis-8582	179	6	process	process	NOUN
fcis-8582	179	7	of	of	ADP
fcis-8582	179	8	proving	prove	VERB
fcis-8582	179	9	this	this	DET
fcis-8582	179	10	conclusion	conclusion	NOUN
fcis-8582	179	11	is	be	AUX
fcis-8582	179	12	similar	similar	ADJ
fcis-8582	179	13	to	to	ADP
fcis-8582	179	14	theorem	theorem	NOUN
fcis-8582	179	15	2	2	NUM
fcis-8582	179	16	.	.	NOUN
fcis-8582	179	17	4	4	NUM
fcis-8582	179	18	.	.	NOUN
fcis-8582	179	19	example	example	NOUN
fcis-8582	179	20	example	example	NOUN
fcis-8582	179	21	1	1	NUM
fcis-8582	179	22	calculate	calculate	VERB
fcis-8582	179	23	the	the	DET
fcis-8582	179	24	general	general	ADJ
fcis-8582	179	25	solution	solution	NOUN
fcis-8582	179	26	of	of	ADP
fcis-8582	179	27	differential	differential	ADJ
fcis-8582	179	28	equation	equation	NOUN
fcis-8582	179	29	2	2	NUM
fcis-8582	179	30	3	3	NUM
fcis-8582	179	31	3	3	NUM
fcis-8582	179	32	xy	xy	NOUN
fcis-8582	179	33	y	y	PROPN
fcis-8582	179	34	y	y	PROPN
fcis-8582	179	35	xe	xe	PUNCT
fcis-8582	180	1			VERB
fcis-8582	180	2			NOUN
fcis-8582	180	3			ADJ
fcis-8582	180	4	answer	answer	NOUN
fcis-8582	180	5	:	:	PUNCT
fcis-8582	180	6	the	the	DET
fcis-8582	180	7	characteristic	characteristic	ADJ
fcis-8582	180	8	equation	equation	NOUN
fcis-8582	180	9	is	be	AUX
fcis-8582	180	10	2	2	NUM
fcis-8582	180	11	2	2	NUM
fcis-8582	180	12	3	3	NUM
fcis-8582	180	13	0r	0r	X
fcis-8582	180	14	r	r	NOUN
fcis-8582	180	15			PROPN
fcis-8582	180	16			PRON
fcis-8582	180	17	,	,	PUNCT
fcis-8582	180	18	its	its	PRON
fcis-8582	180	19	roots	root	NOUN
fcis-8582	180	20	are	be	AUX
fcis-8582	180	21	1	1	NUM
fcis-8582	180	22	23	23	NUM
fcis-8582	180	23	,	,	PUNCT
fcis-8582	180	24	1r	1r	NUM
fcis-8582	180	25	r	r	NOUN
fcis-8582	180	26			PROPN
fcis-8582	180	27			PROPN
fcis-8582	180	28	.	.	PUNCT
fcis-8582	181	1	therefore	therefore	ADV
fcis-8582	181	2	,	,	PUNCT
fcis-8582	181	3	the	the	DET
fcis-8582	181	4	general	general	ADJ
fcis-8582	181	5	solution	solution	NOUN
fcis-8582	181	6	of	of	ADP
fcis-8582	181	7	the	the	DET
fcis-8582	181	8	corresponding	corresponding	ADJ
fcis-8582	181	9	homogeneous	homogeneous	ADJ
fcis-8582	181	10	linear	linear	PROPN
fcis-8582	181	11	differential	differential	NOUN
fcis-8582	181	12	equation	equation	NOUN
fcis-8582	181	13	is	be	AUX
fcis-8582	181	14	3	3	NUM
fcis-8582	181	15	1	1	NUM
fcis-8582	181	16	2	2	NUM
fcis-8582	181	17	x	x	SYM
fcis-8582	181	18	xy	xy	NOUN
fcis-8582	181	19	c	c	NOUN
fcis-8582	181	20	e	e	X
fcis-8582	181	21	c	c	PROPN
fcis-8582	181	22	e	e	PROPN
fcis-8582	181	23			ADV
fcis-8582	181	24	.next	.next	NUM
fcis-8582	181	25	,	,	PUNCT
fcis-8582	181	26	we	we	PRON
fcis-8582	181	27	need	need	AUX
fcis-8582	181	28	find	find	VERB
fcis-8582	181	29	a	a	DET
fcis-8582	181	30	special	special	ADJ
fcis-8582	181	31	solution	solution	NOUN
fcis-8582	181	32	of	of	ADP
fcis-8582	181	33	non	non	ADJ
fcis-8582	181	34	-	-	ADJ
fcis-8582	181	35	homogeneous	homogeneous	ADJ
fcis-8582	181	36	linear	linear	PROPN
fcis-8582	181	37	differential	differential	NOUN
fcis-8582	181	38	equation	equation	NOUN
fcis-8582	181	39	,	,	PUNCT
fcis-8582	181	40	due	due	ADP
fcis-8582	181	41	to	to	ADP
fcis-8582	181	42	(	(	PUNCT
fcis-8582	181	43	)	)	PUNCT
fcis-8582	181	44	3	3	NUM
fcis-8582	181	45	,	,	PUNCT
fcis-8582	181	46	1xf	1xf	NOUN
fcis-8582	181	47	x	x	SYM
fcis-8582	181	48	xe	xe	PROPN
fcis-8582	181	49			ADP
fcis-8582	181	50			PROPN
fcis-8582	181	51			NOUN
fcis-8582	181	52	is	be	AUX
fcis-8582	181	53	a	a	DET
fcis-8582	181	54	single	single	ADJ
fcis-8582	181	55	root	root	NOUN
fcis-8582	181	56	of	of	ADP
fcis-8582	181	57	the	the	DET
fcis-8582	181	58	characteristic	characteristic	ADJ
fcis-8582	181	59	equation	equation	NOUN
fcis-8582	181	60	,	,	PUNCT
fcis-8582	181	61	thus	thus	ADV
fcis-8582	181	62	,	,	PUNCT
fcis-8582	181	63	the	the	DET
fcis-8582	181	64	special	special	ADJ
fcis-8582	181	65	solution	solution	NOUN
fcis-8582	181	66	is	be	AUX
fcis-8582	181	67	as	as	SCONJ
fcis-8582	181	68	follows	follow	VERB
fcis-8582	181	69	:	:	PUNCT
fcis-8582	181	70	*	*	PUNCT
fcis-8582	181	71	(	(	PUNCT
fcis-8582	181	72	)	)	PUNCT
fcis-8582	181	73	xy	xy	NOUN
fcis-8582	181	74	x	x	PUNCT
fcis-8582	182	1	a	a	DET
fcis-8582	182	2	bx	bx	PROPN
fcis-8582	182	3	e	e	PROPN
fcis-8582	182	4			PUNCT
fcis-8582	182	5	,	,	PUNCT
fcis-8582	182	6	where	where	SCONJ
fcis-8582	182	7	,	,	PUNCT
fcis-8582	182	8	a	a	DET
fcis-8582	182	9	b	b	NOUN
fcis-8582	182	10	are	be	AUX
fcis-8582	182	11	undetermined	undetermined	ADJ
fcis-8582	182	12	,	,	PUNCT
fcis-8582	182	13	let	let	VERB
fcis-8582	182	14	2	2	NUM
fcis-8582	182	15	(	(	PUNCT
fcis-8582	182	16	)	)	PUNCT
fcis-8582	182	17	r	r	NOUN
fcis-8582	182	18	x	x	PUNCT
fcis-8582	182	19	ax	ax	NOUN
fcis-8582	182	20	bx	bx	NOUN
fcis-8582	182	21			ADV
fcis-8582	182	22	,	,	PUNCT
fcis-8582	182	23	according	accord	VERB
fcis-8582	182	24	to	to	ADP
fcis-8582	182	25	theorem	theorem	NOUN
fcis-8582	182	26	1	1	NUM
fcis-8582	182	27	,	,	PUNCT
fcis-8582	182	28	(	(	PUNCT
fcis-8582	182	29	)	)	PUNCT
fcis-8582	182	30	r	r	NOUN
fcis-8582	182	31	x	x	PRON
fcis-8582	182	32	satisfies	satisfy	VERB
fcis-8582	182	33	the	the	DET
fcis-8582	182	34	differential	differential	ADJ
fcis-8582	182	35	equation	equation	NOUN
fcis-8582	182	36	(	(	PUNCT
fcis-8582	182	37	)	)	PUNCT
fcis-8582	182	38	4	4	NUM
fcis-8582	182	39	(	(	PUNCT
fcis-8582	182	40	)	)	PUNCT
fcis-8582	182	41	3r	3r	NOUN
fcis-8582	182	42	x	x	SYM
fcis-8582	182	43	r	r	NOUN
fcis-8582	182	44	x	x	SYM
fcis-8582	182	45	x	x	NOUN
fcis-8582	183	1			ADP
fcis-8582	183	2			NOUN
fcis-8582	183	3	,	,	PUNCT
fcis-8582	183	4	by	by	ADP
fcis-8582	183	5	simplifing	simplife	VERB
fcis-8582	183	6	it	it	PRON
fcis-8582	183	7	,	,	PUNCT
fcis-8582	183	8	and	and	CCONJ
fcis-8582	183	9	we	we	PRON
fcis-8582	183	10	can	can	AUX
fcis-8582	183	11	obtain	obtain	VERB
fcis-8582	183	12	2	2	NUM
fcis-8582	183	13	4	4	NUM
fcis-8582	183	14	(	(	PUNCT
fcis-8582	183	15	2	2	NUM
fcis-8582	183	16	)	)	PUNCT
fcis-8582	183	17	3b	3b	NOUN
fcis-8582	183	18	a	a	DET
fcis-8582	183	19	bx	bx	PROPN
fcis-8582	183	20	x	x	PROPN
fcis-8582	183	21			PROPN
fcis-8582	183	22			PROPN
fcis-8582	183	23	,	,	PUNCT
fcis-8582	183	24	thus	thus	ADV
fcis-8582	183	25	2	2	NUM
fcis-8582	183	26	4	4	NUM
fcis-8582	183	27	0	0	NUM
fcis-8582	183	28	,	,	PUNCT
fcis-8582	183	29	8	8	NUM
fcis-8582	183	30	3b	3b	NOUN
fcis-8582	183	31	a	a	DET
fcis-8582	183	32	b	b	NOUN
fcis-8582	183	33			PROPN
fcis-8582	183	34			PROPN
fcis-8582	183	35			NUM
fcis-8582	183	36	,	,	PUNCT
fcis-8582	183	37	3	3	NUM
fcis-8582	183	38	3	3	NUM
fcis-8582	183	39	,	,	PUNCT
fcis-8582	183	40	16	16	NUM
fcis-8582	183	41	8	8	NUM
fcis-8582	183	42	a	a	DET
fcis-8582	183	43	b	b	NOUN
fcis-8582	183	44			PROPN
fcis-8582	183	45			PROPN
fcis-8582	183	46			PROPN
fcis-8582	183	47	are	be	AUX
fcis-8582	183	48	solved	solve	VERB
fcis-8582	183	49	,	,	PUNCT
fcis-8582	183	50	then	then	ADV
fcis-8582	183	51	*	*	PUNCT
fcis-8582	183	52	23	23	NUM
fcis-8582	183	53	3	3	NUM
fcis-8582	183	54	16	16	NUM
fcis-8582	183	55	8	8	NUM
fcis-8582	183	56	x	x	SYM
fcis-8582	183	57	xy	xy	PROPN
fcis-8582	183	58	xe	xe	PROPN
fcis-8582	183	59	x	x	SYM
fcis-8582	183	60	e	e	NOUN
fcis-8582	183	61			ADJ
fcis-8582	183	62			PROPN
fcis-8582	183	63			PROPN
fcis-8582	183	64	,	,	PUNCT
fcis-8582	183	65	the	the	DET
fcis-8582	183	66	general	general	ADJ
fcis-8582	183	67	solution	solution	NOUN
fcis-8582	183	68	of	of	ADP
fcis-8582	183	69	the	the	DET
fcis-8582	183	70	original	original	ADJ
fcis-8582	183	71	equation	equation	NOUN
fcis-8582	183	72	is	be	AUX
fcis-8582	183	73	121	121	NUM
fcis-8582	183	74	3	3	NUM
fcis-8582	183	75	2	2	NUM
fcis-8582	183	76	1	1	NUM
fcis-8582	183	77	2	2	NUM
fcis-8582	183	78	3	3	NUM
fcis-8582	183	79	3	3	NUM
fcis-8582	183	80	16	16	NUM
fcis-8582	183	81	8	8	NUM
fcis-8582	183	82	x	x	SYM
fcis-8582	183	83	x	x	PUNCT
fcis-8582	183	84	x	x	PUNCT
fcis-8582	183	85	xy	xy	NOUN
fcis-8582	183	86	c	c	NOUN
fcis-8582	183	87	e	e	X
fcis-8582	183	88	c	c	X
fcis-8582	183	89	e	e	PROPN
fcis-8582	183	90	xe	xe	PROPN
fcis-8582	183	91	x	x	SYM
fcis-8582	183	92	e	e	NOUN
fcis-8582	183	93			NOUN
fcis-8582	183	94			PROPN
fcis-8582	183	95			PUNCT
fcis-8582	183	96			PROPN
fcis-8582	183	97			PROPN
fcis-8582	183	98	(	(	PUNCT
fcis-8582	183	99	1	1	NUM
fcis-8582	183	100	2,c	2,c	NUM
fcis-8582	183	101	c	c	NOUN
fcis-8582	183	102	are	be	AUX
fcis-8582	183	103	any	any	DET
fcis-8582	183	104	constants	constant	NOUN
fcis-8582	183	105	)	)	PUNCT
fcis-8582	183	106	.	.	PUNCT
fcis-8582	184	1	example	example	NOUN
fcis-8582	184	2	2	2	NUM
fcis-8582	184	3	calculate	calculate	VERB
fcis-8582	184	4	the	the	DET
fcis-8582	184	5	general	general	ADJ
fcis-8582	184	6	solution	solution	NOUN
fcis-8582	184	7	of	of	ADP
fcis-8582	184	8	differential	differential	ADJ
fcis-8582	184	9	equation	equation	NOUN
fcis-8582	184	10	2	2	NUM
fcis-8582	184	11	24	24	NUM
fcis-8582	184	12	4	4	NUM
fcis-8582	184	13	1xy	1xy	NOUN
fcis-8582	184	14	y	y	PROPN
fcis-8582	184	15	y	y	PROPN
fcis-8582	184	16	x	x	SYM
fcis-8582	184	17	e	e	PROPN
fcis-8582	184	18			PROPN
fcis-8582	184	19			NOUN
fcis-8582	184	20			PROPN
fcis-8582	184	21			ADV
fcis-8582	184	22			PUNCT
fcis-8582	184	23	answer	answer	NOUN
fcis-8582	184	24	:	:	PUNCT
fcis-8582	184	25	the	the	DET
fcis-8582	184	26	characteristic	characteristic	ADJ
fcis-8582	184	27	equation	equation	NOUN
fcis-8582	184	28	is	be	AUX
fcis-8582	184	29	2	2	NUM
fcis-8582	184	30	4	4	NUM
fcis-8582	184	31	4	4	NUM
fcis-8582	184	32	0r	0r	NOUN
fcis-8582	184	33	r	r	NOUN
fcis-8582	184	34			ADV
fcis-8582	184	35			ADJ
fcis-8582	184	36	,	,	PUNCT
fcis-8582	184	37	its	its	PRON
fcis-8582	184	38	root	root	NOUN
fcis-8582	184	39	is	be	AUX
fcis-8582	184	40	2r	2r	NUM
fcis-8582	184	41			NOUN
fcis-8582	185	1	(	(	PUNCT
fcis-8582	185	2	double	double	ADJ
fcis-8582	185	3	)	)	PUNCT
fcis-8582	185	4	,	,	PUNCT
fcis-8582	185	5	therefore	therefore	ADV
fcis-8582	185	6	,	,	PUNCT
fcis-8582	185	7	the	the	DET
fcis-8582	185	8	general	general	ADJ
fcis-8582	185	9	solution	solution	NOUN
fcis-8582	185	10	of	of	ADP
fcis-8582	185	11	the	the	DET
fcis-8582	185	12	corresponding	corresponding	ADJ
fcis-8582	185	13	homogeneous	homogeneous	ADJ
fcis-8582	185	14	linear	linear	PROPN
fcis-8582	185	15	differential	differential	NOUN
fcis-8582	185	16	equation	equation	NOUN
fcis-8582	185	17	is	be	AUX
fcis-8582	185	18	2	2	NUM
fcis-8582	185	19	2	2	NUM
fcis-8582	185	20	1	1	NUM
fcis-8582	185	21	2	2	NUM
fcis-8582	185	22	,	,	PUNCT
fcis-8582	185	23	x	x	PUNCT
fcis-8582	185	24	xy	xy	NOUN
fcis-8582	185	25	c	c	X
fcis-8582	185	26	e	e	X
fcis-8582	185	27	c	c	PROPN
fcis-8582	185	28	xe	xe	PROPN
fcis-8582	185	29			PROPN
fcis-8582	185	30	next	next	ADV
fcis-8582	185	31	,	,	PUNCT
fcis-8582	185	32	we	we	PRON
fcis-8582	185	33	need	need	AUX
fcis-8582	185	34	find	find	VERB
fcis-8582	185	35	a	a	DET
fcis-8582	185	36	special	special	ADJ
fcis-8582	185	37	solution	solution	NOUN
fcis-8582	185	38	of	of	ADP
fcis-8582	185	39	non	non	ADJ
fcis-8582	185	40	-	-	ADJ
fcis-8582	185	41	homogeneous	homogeneous	ADJ
fcis-8582	185	42	linear	linear	PROPN
fcis-8582	185	43	differential	differential	NOUN
fcis-8582	185	44	equation	equation	NOUN
fcis-8582	185	45	,	,	PUNCT
fcis-8582	185	46	due	due	ADP
fcis-8582	185	47	to	to	ADP
fcis-8582	185	48	2	2	NUM
fcis-8582	185	49	2	2	NUM
fcis-8582	185	50	(	(	PUNCT
fcis-8582	185	51	)	)	PUNCT
fcis-8582	185	52	1xf	1xf	NOUN
fcis-8582	186	1	x	x	PUNCT
fcis-8582	186	2	x	x	X
fcis-8582	186	3	e	e	PROPN
fcis-8582	186	4			ADV
fcis-8582	186	5			VERB
fcis-8582	186	6	,	,	PUNCT
fcis-8582	186	7	according	accord	VERB
fcis-8582	186	8	to	to	ADP
fcis-8582	186	9	lemma2	lemma2	NOUN
fcis-8582	186	10	,	,	PUNCT
fcis-8582	186	11	first	first	ADV
fcis-8582	186	12	,	,	PUNCT
fcis-8582	186	13	we	we	PRON
fcis-8582	186	14	need	need	VERB
fcis-8582	186	15	to	to	PART
fcis-8582	186	16	solve	solve	VERB
fcis-8582	186	17	the	the	DET
fcis-8582	186	18	special	special	ADJ
fcis-8582	186	19	solutions	solution	NOUN
fcis-8582	186	20	of	of	ADP
fcis-8582	186	21	the	the	DET
fcis-8582	186	22	following	follow	VERB
fcis-8582	186	23	two	two	NUM
fcis-8582	186	24	equations	equation	NOUN
fcis-8582	186	25	separately	separately	ADV
fcis-8582	186	26	24	24	NUM
fcis-8582	186	27	4	4	NUM
fcis-8582	186	28	1y	1y	NOUN
fcis-8582	186	29	y	y	VERB
fcis-8582	186	30	y	y	PROPN
fcis-8582	186	31	x	x	PROPN
fcis-8582	187	1			VERB
fcis-8582	187	2			NOUN
fcis-8582	188	1			PROPN
fcis-8582	188	2			ADJ
fcis-8582	188	3	24	24	NUM
fcis-8582	188	4	4	4	NUM
fcis-8582	188	5	xy	xy	NOUN
fcis-8582	188	6	y	y	PROPN
fcis-8582	188	7	y	y	PROPN
fcis-8582	188	8	e	e	PROPN
fcis-8582	188	9			PROPN
fcis-8582	188	10			NOUN
fcis-8582	189	1			NUM
fcis-8582	189	2	according	accord	VERB
fcis-8582	189	3	to	to	ADP
fcis-8582	189	4	lemma4,the	lemma4,the	DET
fcis-8582	189	5	specific	specific	ADJ
fcis-8582	189	6	solution	solution	NOUN
fcis-8582	189	7	of	of	ADP
fcis-8582	189	8	the	the	DET
fcis-8582	189	9	former	former	NOUN
fcis-8582	189	10	is	be	AUX
fcis-8582	189	11	as	as	SCONJ
fcis-8582	189	12	follows	follow	VERB
fcis-8582	189	13	*	*	PUNCT
fcis-8582	189	14	2	2	NUM
fcis-8582	189	15	1y	1y	NUM
fcis-8582	189	16	a	a	DET
fcis-8582	189	17	bx	bx	PROPN
fcis-8582	189	18	cx	cx	PROPN
fcis-8582	189	19			PROPN
fcis-8582	189	20			PROPN
fcis-8582	189	21	,	,	PUNCT
fcis-8582	189	22	the	the	DET
fcis-8582	189	23	specific	specific	ADJ
fcis-8582	189	24	solution	solution	NOUN
fcis-8582	189	25	of	of	ADP
fcis-8582	189	26	the	the	DET
fcis-8582	189	27	latter	latter	ADJ
fcis-8582	189	28	is	be	AUX
fcis-8582	189	29	as	as	SCONJ
fcis-8582	189	30	follows	follow	VERB
fcis-8582	189	31	*	*	PUNCT
fcis-8582	189	32	2	2	NUM
fcis-8582	189	33	2	2	NUM
fcis-8582	189	34	2	2	NUM
fcis-8582	189	35	xy	xy	NOUN
fcis-8582	189	36	dx	dx	PROPN
fcis-8582	189	37	e	e	PROPN
fcis-8582	190	1	,	,	PUNCT
fcis-8582	190	2	where	where	SCONJ
fcis-8582	190	3	,	,	PUNCT
fcis-8582	190	4	,	,	PUNCT
fcis-8582	190	5	,	,	PUNCT
fcis-8582	190	6	a	a	DET
fcis-8582	190	7	b	b	NOUN
fcis-8582	190	8	c	c	NOUN
fcis-8582	190	9	d	d	NOUN
fcis-8582	190	10	are	be	AUX
fcis-8582	190	11	undetermined	undetermined	ADJ
fcis-8582	190	12	constants	constant	NOUN
fcis-8582	190	13	,	,	PUNCT
fcis-8582	190	14	*	*	PUNCT
fcis-8582	190	15	1y	1y	NUM
fcis-8582	190	16	satisfies	satisfy	VERB
fcis-8582	190	17	the	the	DET
fcis-8582	190	18	differential	differential	ADJ
fcis-8582	190	19	equation	equation	NOUN
fcis-8582	190	20	*	*	PUNCT
fcis-8582	191	1	*	*	PUNCT
fcis-8582	191	2	*	*	PUNCT
fcis-8582	191	3	2	2	NUM
fcis-8582	191	4	1	1	NUM
fcis-8582	191	5	1	1	NUM
fcis-8582	191	6	1	1	NUM
fcis-8582	191	7	(	(	PUNCT
fcis-8582	191	8	)	)	PUNCT
fcis-8582	191	9	4	4	NUM
fcis-8582	191	10	(	(	PUNCT
fcis-8582	191	11	)	)	PUNCT
fcis-8582	191	12	4	4	NUM
fcis-8582	191	13	1y	1y	NUM
fcis-8582	191	14	y	y	VERB
fcis-8582	191	15	y	y	PROPN
fcis-8582	191	16	x	x	PROPN
fcis-8582	191	17			VERB
fcis-8582	191	18			NOUN
fcis-8582	191	19			NOUN
fcis-8582	191	20			VERB
fcis-8582	191	21	by	by	ADP
fcis-8582	191	22	simplifing	simplife	VERB
fcis-8582	191	23	it	it	PRON
fcis-8582	191	24	,	,	PUNCT
fcis-8582	191	25	and	and	CCONJ
fcis-8582	191	26	we	we	PRON
fcis-8582	191	27	can	can	AUX
fcis-8582	191	28	obtain	obtain	VERB
fcis-8582	191	29	2	2	NUM
fcis-8582	191	30	24	24	NUM
fcis-8582	191	31	(	(	PUNCT
fcis-8582	191	32	4	4	NUM
fcis-8582	191	33	8	8	NUM
fcis-8582	191	34	)	)	PUNCT
fcis-8582	191	35	(	(	PUNCT
fcis-8582	191	36	4	4	NUM
fcis-8582	191	37	4	4	NUM
fcis-8582	191	38	2	2	NUM
fcis-8582	191	39	)	)	PUNCT
fcis-8582	191	40	1cx	1cx	NOUN
fcis-8582	192	1	b	b	NOUN
fcis-8582	192	2	c	c	NOUN
fcis-8582	192	3	x	x	X
fcis-8582	192	4	a	a	DET
fcis-8582	192	5	b	b	NOUN
fcis-8582	192	6	c	c	NOUN
fcis-8582	192	7	x	x	NOUN
fcis-8582	192	8			PROPN
fcis-8582	192	9			VERB
fcis-8582	192	10			PROPN
fcis-8582	192	11			PROPN
fcis-8582	192	12			NUM
fcis-8582	192	13			ADJ
fcis-8582	192	14	,	,	PUNCT
fcis-8582	192	15	thus	thus	ADV
fcis-8582	192	16	4	4	NUM
fcis-8582	192	17	1,4	1,4	NUM
fcis-8582	192	18	8	8	NUM
fcis-8582	192	19	0,4	0,4	NUM
fcis-8582	192	20	4	4	NUM
fcis-8582	192	21	2	2	NUM
fcis-8582	192	22	0c	0c	NOUN
fcis-8582	192	23	b	b	PROPN
fcis-8582	192	24	c	c	PROPN
fcis-8582	192	25	a	a	DET
fcis-8582	192	26	b	b	PROPN
fcis-8582	192	27	c	c	PROPN
fcis-8582	192	28			PROPN
fcis-8582	192	29			PROPN
fcis-8582	192	30			PROPN
fcis-8582	192	31			VERB
fcis-8582	192	32			NUM
fcis-8582	192	33	,	,	PUNCT
fcis-8582	192	34	3	3	NUM
fcis-8582	192	35	1	1	NUM
fcis-8582	192	36	1	1	NUM
fcis-8582	192	37	,	,	PUNCT
fcis-8582	192	38	,	,	PUNCT
fcis-8582	192	39	8	8	NUM
fcis-8582	192	40	2	2	NUM
fcis-8582	192	41	4	4	NUM
fcis-8582	192	42	a	a	DET
fcis-8582	192	43	b	b	NOUN
fcis-8582	192	44	c	c	NOUN
fcis-8582	193	1			NOUN
fcis-8582	193	2			NOUN
fcis-8582	193	3	are	be	AUX
fcis-8582	193	4	solved	solve	VERB
fcis-8582	193	5	,	,	PUNCT
fcis-8582	193	6	then	then	ADV
fcis-8582	193	7	*	*	SYM
fcis-8582	193	8	2	2	NUM
fcis-8582	193	9	1	1	NUM
fcis-8582	193	10	1	1	NUM
fcis-8582	193	11	1	1	NUM
fcis-8582	193	12	3	3	NUM
fcis-8582	193	13	4	4	NUM
fcis-8582	193	14	2	2	NUM
fcis-8582	193	15	8	8	NUM
fcis-8582	193	16	y	y	NOUN
fcis-8582	193	17	x	x	PROPN
fcis-8582	193	18	x	x	PROPN
fcis-8582	193	19			PROPN
fcis-8582	193	20			ADJ
fcis-8582	193	21	.	.	PUNCT
fcis-8582	194	1	let	let	VERB
fcis-8582	194	2	2	2	NUM
fcis-8582	194	3	(	(	PUNCT
fcis-8582	194	4	)	)	PUNCT
fcis-8582	194	5	r	r	NOUN
fcis-8582	194	6	x	x	SYM
fcis-8582	194	7	dx	dx	NOUN
fcis-8582	194	8	,	,	PUNCT
fcis-8582	194	9	according	accord	VERB
fcis-8582	194	10	to	to	ADP
fcis-8582	194	11	theorem	theorem	NOUN
fcis-8582	194	12	1	1	NUM
fcis-8582	194	13	,	,	PUNCT
fcis-8582	194	14	(	(	PUNCT
fcis-8582	194	15	)	)	PUNCT
fcis-8582	194	16	r	r	NOUN
fcis-8582	194	17	x	x	PRON
fcis-8582	194	18	satisfies	satisfy	VERB
fcis-8582	194	19	the	the	DET
fcis-8582	194	20	differential	differential	ADJ
fcis-8582	194	21	equation	equation	NOUN
fcis-8582	194	22	(	(	PUNCT
fcis-8582	194	23	)	)	PUNCT
fcis-8582	194	24	1r	1r	NUM
fcis-8582	194	25	x	x	NOUN
fcis-8582	194	26			NUM
fcis-8582	194	27	,	,	PUNCT
fcis-8582	194	28	and	and	CCONJ
fcis-8582	194	29	we	we	PRON
fcis-8582	194	30	can	can	AUX
fcis-8582	194	31	obtain	obtain	VERB
fcis-8582	194	32	2	2	NUM
fcis-8582	194	33	1d	1d	NUM
fcis-8582	194	34			NOUN
fcis-8582	194	35	,	,	PUNCT
fcis-8582	194	36	1	1	NUM
fcis-8582	194	37	2	2	NUM
fcis-8582	194	38	d	d	NOUN
fcis-8582	194	39			NOUN
fcis-8582	194	40	is	be	AUX
fcis-8582	194	41	solved	solve	VERB
fcis-8582	194	42	,	,	PUNCT
fcis-8582	194	43	then	then	ADV
fcis-8582	194	44	*	*	SYM
fcis-8582	194	45	2	2	NUM
fcis-8582	194	46	2	2	NUM
fcis-8582	194	47	2	2	NUM
fcis-8582	194	48	1	1	NUM
fcis-8582	194	49	2	2	NUM
fcis-8582	194	50	xy	xy	NOUN
fcis-8582	194	51	x	x	PROPN
fcis-8582	194	52	e	e	PROPN
fcis-8582	194	53	,	,	PUNCT
fcis-8582	194	54	the	the	DET
fcis-8582	194	55	general	general	ADJ
fcis-8582	194	56	solution	solution	NOUN
fcis-8582	194	57	of	of	ADP
fcis-8582	194	58	the	the	DET
fcis-8582	194	59	original	original	ADJ
fcis-8582	194	60	equation	equation	NOUN
fcis-8582	194	61	is	be	AUX
fcis-8582	194	62	2	2	NUM
fcis-8582	194	63	2	2	NUM
fcis-8582	194	64	2	2	NUM
fcis-8582	194	65	2	2	NUM
fcis-8582	194	66	2	2	NUM
fcis-8582	194	67	1	1	NUM
fcis-8582	194	68	2	2	NUM
fcis-8582	194	69	1	1	NUM
fcis-8582	194	70	1	1	NUM
fcis-8582	194	71	3	3	NUM
fcis-8582	194	72	1	1	NUM
fcis-8582	194	73	4	4	NUM
fcis-8582	194	74	2	2	NUM
fcis-8582	194	75	8	8	NUM
fcis-8582	194	76	2	2	NUM
fcis-8582	194	77	x	x	SYM
fcis-8582	194	78	x	x	PUNCT
fcis-8582	194	79	xy	xy	NOUN
fcis-8582	194	80	c	c	NOUN
fcis-8582	194	81	e	e	NOUN
fcis-8582	194	82	c	c	PROPN
fcis-8582	194	83	xe	xe	PROPN
fcis-8582	194	84	x	x	PROPN
fcis-8582	194	85	x	x	PUNCT
fcis-8582	194	86	x	x	X
fcis-8582	194	87	e	e	PROPN
fcis-8582	194	88			ADV
fcis-8582	194	89			VERB
fcis-8582	194	90			PROPN
fcis-8582	194	91			PUNCT
fcis-8582	194	92			PUNCT
fcis-8582	194	93	(	(	PUNCT
fcis-8582	194	94	1	1	NUM
fcis-8582	194	95	2,c	2,c	NUM
fcis-8582	194	96	c	c	NOUN
fcis-8582	194	97	are	be	AUX
fcis-8582	194	98	any	any	DET
fcis-8582	194	99	constants	constant	NOUN
fcis-8582	194	100	)	)	PUNCT
fcis-8582	194	101	example	example	NOUN
fcis-8582	194	102	3	3	NUM
fcis-8582	194	103	calculate	calculate	VERB
fcis-8582	194	104	the	the	DET
fcis-8582	194	105	general	general	ADJ
fcis-8582	194	106	solution	solution	NOUN
fcis-8582	194	107	of	of	ADP
fcis-8582	194	108	differential	differential	ADJ
fcis-8582	194	109	equation	equation	NOUN
fcis-8582	194	110	2	2	NUM
fcis-8582	194	111	2	2	NUM
fcis-8582	194	112	cosxy	cosxy	NOUN
fcis-8582	194	113	y	y	PROPN
fcis-8582	194	114	y	y	PROPN
fcis-8582	194	115	xe	xe	PROPN
fcis-8582	194	116	x	x	PROPN
fcis-8582	195	1			PROPN
fcis-8582	195	2			NOUN
fcis-8582	196	1			NUM
fcis-8582	196	2	answer	answer	NOUN
fcis-8582	196	3	:	:	PUNCT
fcis-8582	196	4	the	the	DET
fcis-8582	196	5	characteristic	characteristic	ADJ
fcis-8582	196	6	equation	equation	NOUN
fcis-8582	196	7	is	be	AUX
fcis-8582	196	8	2	2	NUM
fcis-8582	196	9	2	2	NUM
fcis-8582	196	10	2	2	NUM
fcis-8582	196	11	0r	0r	NOUN
fcis-8582	196	12	r	r	NOUN
fcis-8582	196	13			PROPN
fcis-8582	196	14			ADJ
fcis-8582	196	15	,	,	PUNCT
fcis-8582	196	16	its	its	PRON
fcis-8582	196	17	root	root	NOUN
fcis-8582	196	18	is	be	AUX
fcis-8582	196	19	1r	1r	NUM
fcis-8582	196	20	i	i	NOUN
fcis-8582	196	21			PROPN
fcis-8582	196	22	.	.	PUNCT
fcis-8582	197	1	therefore	therefore	ADV
fcis-8582	197	2	,	,	PUNCT
fcis-8582	197	3	the	the	DET
fcis-8582	197	4	general	general	ADJ
fcis-8582	197	5	solution	solution	NOUN
fcis-8582	197	6	of	of	ADP
fcis-8582	197	7	the	the	DET
fcis-8582	197	8	corresponding	corresponding	ADJ
fcis-8582	197	9	homogeneous	homogeneous	ADJ
fcis-8582	197	10	linear	linear	PROPN
fcis-8582	197	11	differential	differential	NOUN
fcis-8582	197	12	equation	equation	NOUN
fcis-8582	197	13	is	be	AUX
fcis-8582	197	14	.	.	PUNCT
fcis-8582	198	1	next	next	ADV
fcis-8582	198	2	,	,	PUNCT
fcis-8582	198	3	we	we	PRON
fcis-8582	198	4	need	need	AUX
fcis-8582	198	5	find	find	VERB
fcis-8582	198	6	a	a	DET
fcis-8582	198	7	special	special	ADJ
fcis-8582	198	8	solution	solution	NOUN
fcis-8582	198	9	of	of	ADP
fcis-8582	198	10	non	non	ADJ
fcis-8582	198	11	-	-	ADJ
fcis-8582	198	12	homogeneous	homogeneous	ADJ
fcis-8582	198	13	linear	linear	PROPN
fcis-8582	198	14	differential	differential	NOUN
fcis-8582	198	15	equation	equation	NOUN
fcis-8582	198	16	,	,	PUNCT
fcis-8582	198	17	due	due	ADP
fcis-8582	198	18	to	to	ADP
fcis-8582	198	19	(	(	PUNCT
fcis-8582	198	20	)	)	PUNCT
fcis-8582	198	21	cosxf	cosxf	NOUN
fcis-8582	198	22	x	x	X
fcis-8582	198	23	xe	xe	PROPN
fcis-8582	198	24	x	x	PROPN
fcis-8582	198	25	,	,	PUNCT
fcis-8582	198	26	according	accord	VERB
fcis-8582	198	27	to	to	ADP
fcis-8582	198	28	theorem	theorem	NOUN
fcis-8582	198	29	3	3	NUM
fcis-8582	198	30	,	,	PUNCT
fcis-8582	198	31	the	the	DET
fcis-8582	198	32	differential	differential	ADJ
fcis-8582	198	33	equation	equation	NOUN
fcis-8582	198	34	has	have	VERB
fcis-8582	198	35	the	the	DET
fcis-8582	198	36	following	follow	VERB
fcis-8582	198	37	form	form	NOUN
fcis-8582	198	38	of	of	ADP
fcis-8582	198	39	special	special	ADJ
fcis-8582	198	40	solutions	solution	NOUN
fcis-8582	198	41	*	*	PUNCT
fcis-8582	199	1	[	[	X
fcis-8582	199	2	(	(	PUNCT
fcis-8582	199	3	)	)	PUNCT
fcis-8582	199	4	cos	cos	PROPN
fcis-8582	199	5	(	(	PUNCT
fcis-8582	199	6	)	)	PUNCT
fcis-8582	199	7	sin	sin	NOUN
fcis-8582	199	8	]	]	PUNCT
fcis-8582	199	9	xy	xy	PROPN
fcis-8582	199	10	xe	xe	PROPN
fcis-8582	199	11	a	a	DET
fcis-8582	199	12	bx	bx	NOUN
fcis-8582	200	1	x	x	PROPN
fcis-8582	200	2	c	c	PROPN
fcis-8582	200	3	dx	dx	PROPN
fcis-8582	200	4	x	x	PROPN
fcis-8582	201	1			PROPN
fcis-8582	201	2			PUNCT
fcis-8582	201	3			PUNCT
fcis-8582	201	4	where	where	SCONJ
fcis-8582	201	5	,	,	PUNCT
fcis-8582	201	6	,	,	PUNCT
fcis-8582	201	7	,	,	PUNCT
fcis-8582	201	8	a	a	DET
fcis-8582	201	9	b	b	NOUN
fcis-8582	201	10	c	c	NOUN
fcis-8582	201	11	d	d	NOUN
fcis-8582	201	12	are	be	AUX
fcis-8582	201	13	undetermined	undetermined	ADJ
fcis-8582	201	14	constants	constant	NOUN
fcis-8582	201	15	,	,	PUNCT
fcis-8582	201	16	we	we	PRON
fcis-8582	201	17	can	can	AUX
fcis-8582	201	18	gain	gain	VERB
fcis-8582	201	19	(	(	PUNCT
fcis-8582	201	20	1	1	NUM
fcis-8582	201	21	)	)	PUNCT
fcis-8582	202	1	(	(	PUNCT
fcis-8582	202	2	1	1	X
fcis-8582	202	3	)	)	PUNCT
fcis-8582	202	4	(	(	PUNCT
fcis-8582	202	5	)	)	PUNCT
fcis-8582	202	6	2	2	NUM
fcis-8582	202	7	2	2	NUM
fcis-8582	202	8	i	i	NOUN
fcis-8582	202	9	x	x	VERB
fcis-8582	203	1	i	i	NOUN
fcis-8582	203	2	xx	xx	NUM
fcis-8582	203	3	x	x	SYM
fcis-8582	203	4	f	f	NOUN
fcis-8582	203	5	x	x	SYM
fcis-8582	203	6	e	e	PROPN
fcis-8582	203	7	e	e	PROPN
fcis-8582	203	8			PROPN
fcis-8582	203	9			PUNCT
fcis-8582	203	10	by	by	ADP
fcis-8582	203	11	euler	euler	NOUN
fcis-8582	203	12	's	's	PART
fcis-8582	203	13	formula	formula	NOUN
fcis-8582	203	14	,	,	PUNCT
fcis-8582	203	15	according	accord	VERB
fcis-8582	203	16	to	to	ADP
fcis-8582	203	17	theorem	theorem	ADJ
fcis-8582	203	18	3	3	NUM
fcis-8582	203	19	,	,	PUNCT
fcis-8582	203	20	let	let	VERB
fcis-8582	203	21	(	(	PUNCT
fcis-8582	203	22	)	)	PUNCT
fcis-8582	203	23	(	(	PUNCT
fcis-8582	203	24	)	)	PUNCT
fcis-8582	203	25	(	(	PUNCT
fcis-8582	203	26	)	)	PUNCT
fcis-8582	203	27	2	2	X
fcis-8582	203	28	a	a	DET
fcis-8582	203	29	bx	bx	NOUN
fcis-8582	204	1	i	i	NOUN
fcis-8582	204	2	c	c	VERB
fcis-8582	204	3	dx	dx	PROPN
fcis-8582	205	1	r	r	NOUN
fcis-8582	205	2	x	x	PROPN
fcis-8582	205	3	x	x	X
fcis-8582	205	4			PROPN
fcis-8582	205	5			PROPN
fcis-8582	205	6			VERB
fcis-8582	205	7			NUM
fcis-8582	205	8	,	,	PUNCT
fcis-8582	205	9	then	then	ADV
fcis-8582	205	10	(	(	PUNCT
fcis-8582	205	11	)	)	PUNCT
fcis-8582	205	12	r	r	NOUN
fcis-8582	205	13	x	x	PRON
fcis-8582	205	14	satisfies	satisfy	VERB
fcis-8582	205	15	the	the	DET
fcis-8582	205	16	differential	differential	ADJ
fcis-8582	205	17	equation	equation	NOUN
fcis-8582	205	18	(	(	PUNCT
fcis-8582	205	19	)	)	PUNCT
fcis-8582	206	1	[	[	X
fcis-8582	206	2	2(1	2(1	NUM
fcis-8582	206	3	)	)	PUNCT
fcis-8582	206	4	2	2	NUM
fcis-8582	206	5	]	]	PUNCT
fcis-8582	206	6	(	(	PUNCT
fcis-8582	206	7	)	)	PUNCT
fcis-8582	206	8	2	2	NUM
fcis-8582	206	9	x	x	SYM
fcis-8582	206	10	r	r	NOUN
fcis-8582	206	11	x	x	NOUN
fcis-8582	207	1	i	i	NOUN
fcis-8582	207	2	r	r	NOUN
fcis-8582	207	3	x	x	X
fcis-8582	207	4			PUNCT
fcis-8582	207	5			VERB
fcis-8582	207	6			PROPN
fcis-8582	207	7			NUM
fcis-8582	207	8	by	by	ADP
fcis-8582	207	9	simplifing	simplife	VERB
fcis-8582	207	10	it	it	PRON
fcis-8582	207	11	,	,	PUNCT
fcis-8582	207	12	and	and	CCONJ
fcis-8582	207	13	we	we	PRON
fcis-8582	207	14	can	can	AUX
fcis-8582	207	15	obtain	obtain	VERB
fcis-8582	207	16	(	(	PUNCT
fcis-8582	207	17	)	)	PUNCT
fcis-8582	207	18	(	(	PUNCT
fcis-8582	207	19	)	)	PUNCT
fcis-8582	207	20	2	2	NUM
fcis-8582	207	21	2	2	NUM
fcis-8582	207	22	2	2	NUM
fcis-8582	207	23	x	x	SYM
fcis-8582	207	24	b	b	NOUN
fcis-8582	207	25	c	c	NOUN
fcis-8582	207	26	a	a	PROPN
fcis-8582	208	1	d	d	X
fcis-8582	208	2	i	i	PRON
fcis-8582	208	3	bxi	bxi	PROPN
fcis-8582	208	4	dx	dx	PROPN
fcis-8582	208	5			PUNCT
fcis-8582	208	6			PROPN
fcis-8582	208	7			VERB
fcis-8582	208	8			PUNCT
fcis-8582	209	1			NUM
fcis-8582	210	1	thus	thus	ADV
fcis-8582	210	2	1	1	NUM
fcis-8582	210	3	0	0	NUM
fcis-8582	210	4	,	,	PUNCT
fcis-8582	211	1	0,2	0,2	NUM
fcis-8582	211	2	0,2	0,2	NUM
fcis-8582	211	3	2	2	NUM
fcis-8582	211	4	b	b	NOUN
fcis-8582	211	5	c	c	NOUN
fcis-8582	211	6	a	a	DET
fcis-8582	211	7	d	d	X
fcis-8582	211	8	b	b	X
fcis-8582	211	9	d	d	X
fcis-8582	211	10			PROPN
fcis-8582	211	11			NOUN
fcis-8582	211	12			NOUN
fcis-8582	211	13			PRON
fcis-8582	211	14			NOUN
fcis-8582	211	15	,	,	PUNCT
fcis-8582	211	16	and	and	CCONJ
fcis-8582	211	17	1	1	NUM
fcis-8582	211	18	,	,	PUNCT
fcis-8582	211	19	0	0	NUM
fcis-8582	211	20	4	4	NUM
fcis-8582	211	21	a	a	PRON
fcis-8582	211	22	d	d	X
fcis-8582	211	23	b	b	PROPN
fcis-8582	212	1	c	c	NOUN
fcis-8582	213	1			NUM
fcis-8582	214	1			NOUN
fcis-8582	214	2			NOUN
fcis-8582	214	3	are	be	AUX
fcis-8582	214	4	solved	solve	VERB
fcis-8582	214	5	,	,	PUNCT
fcis-8582	214	6	then	then	ADV
fcis-8582	214	7	*	*	SYM
fcis-8582	214	8	1	1	NUM
fcis-8582	214	9	(	(	PUNCT
fcis-8582	214	10	cos	cos	X
fcis-8582	214	11	sin	sin	NOUN
fcis-8582	214	12	)	)	PUNCT
fcis-8582	214	13	4	4	NUM
fcis-8582	215	1	xy	xy	NOUN
fcis-8582	215	2	xe	xe	PROPN
fcis-8582	215	3	x	x	PROPN
fcis-8582	215	4	x	x	PROPN
fcis-8582	215	5	x	x	PROPN
fcis-8582	215	6			VERB
fcis-8582	215	7	the	the	DET
fcis-8582	215	8	general	general	ADJ
fcis-8582	215	9	solution	solution	NOUN
fcis-8582	215	10	of	of	ADP
fcis-8582	215	11	the	the	DET
fcis-8582	215	12	original	original	ADJ
fcis-8582	215	13	equation	equation	NOUN
fcis-8582	215	14	is	be	AUX
fcis-8582	215	15	1	1	NUM
fcis-8582	215	16	2	2	NUM
fcis-8582	215	17	1	1	NUM
fcis-8582	215	18	cos	cos	PROPN
fcis-8582	215	19	sin	sin	NOUN
fcis-8582	215	20	(	(	PUNCT
fcis-8582	215	21	cos	cos	X
fcis-8582	215	22	sin	sin	NOUN
fcis-8582	215	23	)	)	PUNCT
fcis-8582	216	1	4	4	NUM
fcis-8582	216	2	x	x	SYM
fcis-8582	216	3	x	x	PUNCT
fcis-8582	216	4	xy	xy	NOUN
fcis-8582	216	5	c	c	X
fcis-8582	216	6	e	e	NOUN
fcis-8582	216	7	x	x	X
fcis-8582	216	8	c	c	NOUN
fcis-8582	216	9	e	e	X
fcis-8582	216	10	x	x	PROPN
fcis-8582	216	11	xe	xe	PROPN
fcis-8582	216	12	x	x	PROPN
fcis-8582	216	13	x	x	PROPN
fcis-8582	216	14	x	x	PROPN
fcis-8582	216	15			PROPN
fcis-8582	216	16			PUNCT
fcis-8582	216	17			PUNCT
fcis-8582	216	18	(	(	PUNCT
fcis-8582	216	19	1	1	NUM
fcis-8582	216	20	2,c	2,c	NUM
fcis-8582	216	21	c	c	NOUN
fcis-8582	216	22	are	be	AUX
fcis-8582	216	23	any	any	DET
fcis-8582	216	24	constants	constant	NOUN
fcis-8582	216	25	)	)	PUNCT
fcis-8582	216	26	.	.	PUNCT
fcis-8582	217	1	5	5	X
fcis-8582	217	2	.	.	X
fcis-8582	217	3	conclusion	conclusion	NOUN
fcis-8582	217	4	on	on	ADP
fcis-8582	217	5	second	second	ADJ
fcis-8582	217	6	order	order	NOUN
fcis-8582	217	7	non	non	ADJ
fcis-8582	217	8	-	-	ADJ
fcis-8582	217	9	homogeneous	homogeneous	ADJ
fcis-8582	217	10	linear	linear	PROPN
fcis-8582	217	11	differential	differential	NOUN
fcis-8582	217	12	equation	equation	NOUN
fcis-8582	217	13	with	with	ADP
fcis-8582	217	14	constant	constant	ADJ
fcis-8582	217	15	coefficients	coefficient	NOUN
fcis-8582	217	16	(	(	PUNCT
fcis-8582	217	17	)	)	PUNCT
fcis-8582	217	18	(	(	PUNCT
fcis-8582	217	19	)	)	PUNCT
fcis-8582	217	20	l	l	NOUN
fcis-8582	218	1	y	y	PROPN
fcis-8582	218	2	f	f	PROPN
fcis-8582	218	3	x	x	PROPN
fcis-8582	218	4	,	,	PUNCT
fcis-8582	218	5	this	this	DET
fcis-8582	218	6	article	article	NOUN
fcis-8582	218	7	focuses	focus	VERB
fcis-8582	218	8	on	on	ADP
fcis-8582	218	9	three	three	NUM
fcis-8582	218	10	special	special	ADJ
fcis-8582	218	11	forms	form	NOUN
fcis-8582	218	12	of	of	ADP
fcis-8582	218	13	non	non	ADJ
fcis-8582	218	14	-	-	ADJ
fcis-8582	218	15	homogeneous	homogeneous	ADJ
fcis-8582	218	16	term	term	NOUN
fcis-8582	218	17	(	(	PUNCT
fcis-8582	218	18	)	)	PUNCT
fcis-8582	218	19	f	f	NOUN
fcis-8582	218	20	x	x	PUNCT
fcis-8582	218	21	,	,	PUNCT
fcis-8582	218	22	improve	improve	VERB
fcis-8582	218	23	the	the	DET
fcis-8582	218	24	comparison	comparison	NOUN
fcis-8582	218	25	coefficient	coefficient	NOUN
fcis-8582	218	26	method	method	NOUN
fcis-8582	218	27	,	,	PUNCT
fcis-8582	218	28	and	and	CCONJ
fcis-8582	218	29	obtain	obtain	VERB
fcis-8582	218	30	relevant	relevant	ADJ
fcis-8582	218	31	conclusions	conclusion	NOUN
fcis-8582	218	32	.	.	PUNCT
fcis-8582	219	1	this	this	PRON
fcis-8582	219	2	greatly	greatly	ADV
fcis-8582	219	3	simplifies	simplify	VERB
fcis-8582	219	4	the	the	DET
fcis-8582	219	5	process	process	NOUN
fcis-8582	219	6	of	of	ADP
fcis-8582	219	7	solving	solve	VERB
fcis-8582	219	8	the	the	DET
fcis-8582	219	9	undetermined	undetermined	ADJ
fcis-8582	219	10	coefficients	coefficient	NOUN
fcis-8582	219	11	in	in	ADP
fcis-8582	219	12	the	the	DET
fcis-8582	219	13	special	special	ADJ
fcis-8582	219	14	solution	solution	NOUN
fcis-8582	219	15	,	,	PUNCT
fcis-8582	219	16	and	and	CCONJ
fcis-8582	219	17	this	this	DET
fcis-8582	219	18	improvement	improvement	NOUN
fcis-8582	219	19	can	can	AUX
fcis-8582	219	20	be	be	AUX
fcis-8582	219	21	extended	extend	VERB
fcis-8582	219	22	to	to	ADP
fcis-8582	219	23	high	high	ADJ
fcis-8582	219	24	-	-	PUNCT
fcis-8582	219	25	order	order	NOUN
fcis-8582	219	26	constant	constant	ADJ
fcis-8582	219	27	coefficient	coefficient	NOUN
fcis-8582	219	28	non	non	ADJ
fcis-8582	219	29	-	-	ADJ
fcis-8582	219	30	homogeneous	homogeneous	ADJ
fcis-8582	219	31	linear	linear	PROPN
fcis-8582	219	32	differential	differential	NOUN
fcis-8582	219	33	equation	equation	NOUN
fcis-8582	219	34	,	,	PUNCT
fcis-8582	219	35	which	which	PRON
fcis-8582	219	36	has	have	VERB
fcis-8582	219	37	some	some	DET
fcis-8582	219	38	enlightenment	enlightenment	NOUN
fcis-8582	219	39	for	for	ADP
fcis-8582	219	40	the	the	DET
fcis-8582	219	41	learning	learning	NOUN
fcis-8582	219	42	of	of	ADP
fcis-8582	219	43	ordinary	ordinary	ADJ
fcis-8582	219	44	differential	differential	ADJ
fcis-8582	219	45	equation	equation	NOUN
fcis-8582	219	46	.	.	PUNCT
fcis-8582	220	1	acknowledgments	acknowledgment	NOUN
fcis-8582	220	2	this	this	DET
fcis-8582	220	3	study	study	NOUN
fcis-8582	220	4	was	be	AUX
fcis-8582	220	5	supported	support	VERB
fcis-8582	220	6	by	by	ADP
fcis-8582	220	7	fund	fund	NOUN
fcis-8582	220	8	project	project	NOUN
fcis-8582	220	9	:	:	PUNCT
fcis-8582	220	10	anhui	anhui	PROPN
fcis-8582	220	11	university	university	PROPN
fcis-8582	220	12	of	of	ADP
fcis-8582	220	13	finance	finance	NOUN
fcis-8582	220	14	and	and	CCONJ
fcis-8582	220	15	economics	economic	NOUN
fcis-8582	220	16	teaching	teaching	NOUN
fcis-8582	220	17	and	and	CCONJ
fcis-8582	220	18	research	research	NOUN
fcis-8582	220	19	project	project	NOUN
fcis-8582	220	20	(	(	PUNCT
fcis-8582	220	21	acjyyb2021049	acjyyb2021049	PROPN
fcis-8582	220	22	)	)	PUNCT
fcis-8582	220	23	,	,	PUNCT
fcis-8582	220	24	anhui	anhui	PROPN
fcis-8582	220	25	university	university	PROPN
fcis-8582	220	26	of	of	ADP
fcis-8582	220	27	finance	finance	NOUN
fcis-8582	220	28	and	and	CCONJ
fcis-8582	220	29	economics	economic	NOUN
fcis-8582	220	30	combines	combine	VERB
fcis-8582	220	31	online	online	ADV
fcis-8582	220	32	and	and	CCONJ
fcis-8582	220	33	offline	offline	ADJ
fcis-8582	220	34	first	first	ADJ
fcis-8582	220	35	-	-	PUNCT
fcis-8582	220	36	class	class	NOUN
fcis-8582	220	37	courses	course	NOUN
fcis-8582	220	38	(	(	PUNCT
fcis-8582	220	39	acylkc2022013	acylkc2022013	PROPN
fcis-8582	220	40	)	)	PUNCT
fcis-8582	220	41	,	,	PUNCT
fcis-8582	220	42	anhui	anhui	PROPN
fcis-8582	220	43	province	province	PROPN
fcis-8582	220	44	teaching	teaching	NOUN
fcis-8582	220	45	and	and	CCONJ
fcis-8582	220	46	research	research	NOUN
fcis-8582	220	47	project(2022jyxm016	project(2022jyxm016	NUM
fcis-8582	220	48	)	)	PUNCT
fcis-8582	220	49	.	.	PUNCT
fcis-8582	221	1	references	reference	NOUN
fcis-8582	221	2	[	[	X
fcis-8582	221	3	1	1	NUM
fcis-8582	221	4	]	]	X
fcis-8582	221	5	g.x.wang	g.x.wang	NOUN
fcis-8582	221	6	.	.	PUNCT
fcis-8582	222	1	ordinary	ordinary	ADJ
fcis-8582	222	2	differential	differential	ADJ
fcis-8582	222	3	equation(higher	equation(higher	PROPN
fcis-8582	222	4	education	education	NOUN
fcis-8582	222	5	press	press	NOUN
fcis-8582	222	6	,	,	PUNCT
fcis-8582	222	7	china	china	PROPN
fcis-8582	222	8	2006),p.136	2006),p.136	NUM
fcis-8582	222	9	-	-	SYM
fcis-8582	222	10	155	155	NUM
fcis-8582	222	11	.(in	.(in	PUNCT
fcis-8582	222	12	chinese	chinese	ADJ
fcis-8582	222	13	)	)	PUNCT
fcis-8582	222	14	.	.	PUNCT
fcis-8582	223	1	[	[	X
fcis-8582	223	2	2	2	NUM
fcis-8582	223	3	]	]	PUNCT
fcis-8582	223	4	z.l.xu	z.l.xu	X
fcis-8582	223	5	.	.	PUNCT
fcis-8582	223	6	interpretation	interpretation	NOUN
fcis-8582	223	7	of	of	ADP
fcis-8582	223	8	problem	problem	NOUN
fcis-8582	223	9	solving	solve	VERB
fcis-8582	223	10	methods	method	NOUN
fcis-8582	223	11	in	in	ADP
fcis-8582	223	12	college	college	NOUN
fcis-8582	223	13	mathematics(anhui	mathematics(anhui	PROPN
fcis-8582	223	14	education	education	NOUN
fcis-8582	223	15	press	press	NOUN
fcis-8582	223	16	,	,	PUNCT
fcis-8582	223	17	china	china	PROPN
fcis-8582	223	18	1999	1999	NUM
fcis-8582	223	19	)	)	PUNCT
fcis-8582	223	20	,	,	PUNCT
fcis-8582	223	21	p.585	p.585	NOUN
fcis-8582	223	22	-	-	PUNCT
fcis-8582	223	23	588	588	NUM
fcis-8582	223	24	.	.	PUNCT
fcis-8582	224	1	(	(	PUNCT
fcis-8582	224	2	in	in	ADP
fcis-8582	224	3	chinese	chinese	PROPN
fcis-8582	224	4	)	)	PUNCT
fcis-8582	224	5	.	.	PUNCT
fcis-8582	225	1	[	[	X
fcis-8582	225	2	3	3	X
fcis-8582	225	3	]	]	X
fcis-8582	225	4	k.l.lin	k.l.lin	PROPN
fcis-8582	225	5	,	,	PUNCT
fcis-8582	225	6	j.wang	j.wang	PROPN
fcis-8582	225	7	.	.	PUNCT
fcis-8582	226	1	algebraic	algebraic	ADJ
fcis-8582	226	2	methods	method	NOUN
fcis-8582	226	3	for	for	ADP
fcis-8582	226	4	solving	solve	VERB
fcis-8582	226	5	linear	linear	ADJ
fcis-8582	226	6	differential	differential	ADJ
fcis-8582	226	7	equation	equation	NOUN
fcis-8582	226	8	with	with	ADP
fcis-8582	226	9	constant	constant	ADJ
fcis-8582	226	10	coefficient	coefficient	NOUN
fcis-8582	226	11	[	[	PUNCT
fcis-8582	226	12	j],journal	j],journal	NOUN
fcis-8582	226	13	of	of	ADP
fcis-8582	226	14	inner	inner	ADJ
fcis-8582	226	15	mongolia	mongolia	PROPN
fcis-8582	226	16	normal	normal	ADJ
fcis-8582	226	17	university	university	PROPN
fcis-8582	226	18	(	(	PUNCT
fcis-8582	226	19	natural	natural	ADJ
fcis-8582	226	20	science	science	NOUN
fcis-8582	226	21	chinese	chinese	PROPN
fcis-8582	226	22	edition	edition	PROPN
fcis-8582	226	23	)	)	PUNCT
fcis-8582	226	24	,	,	PUNCT
fcis-8582	226	25	vol	vol	NOUN
fcis-8582	226	26	.	.	PUNCT
fcis-8582	227	1	48	48	NUM
fcis-8582	227	2	(	(	PUNCT
fcis-8582	227	3	2019	2019	NUM
fcis-8582	227	4	)	)	PUNCT
fcis-8582	227	5	no.6	no.6	PROPN
fcis-8582	227	6	,	,	PUNCT
fcis-8582	227	7	p.	p.	NOUN
fcis-8582	227	8	576	576	NUM
fcis-8582	227	9	-	-	SYM
fcis-8582	227	10	581	581	NUM
fcis-8582	227	11	.	.	PUNCT
fcis-8582	227	12	2019(6):576	2019(6):576	NUM
fcis-8582	227	13	-	-	SYM
fcis-8582	227	14	581	581	NUM
fcis-8582	227	15	.	.	PUNCT
fcis-8582	228	1	[	[	X
fcis-8582	228	2	4	4	NUM
fcis-8582	228	3	]	]	X
fcis-8582	228	4	l.l.zhao	l.l.zhao	NOUN
fcis-8582	228	5	.	.	PUNCT
fcis-8582	229	1	new	new	ADJ
fcis-8582	229	2	understanding	understanding	NOUN
fcis-8582	229	3	on	on	ADP
fcis-8582	229	4	the	the	DET
fcis-8582	229	5	solution	solution	NOUN
fcis-8582	229	6	of	of	ADP
fcis-8582	229	7	constant	constant	ADJ
fcis-8582	229	8	coefficient	coefficient	NOUN
fcis-8582	229	9	linear	linear	PROPN
fcis-8582	229	10	differential	differential	NOUN
fcis-8582	229	11	equation[j],journal	equation[j],journal	PROPN
fcis-8582	229	12	of	of	ADP
fcis-8582	229	13	southwest	southwest	PROPN
fcis-8582	229	14	university	university	PROPN
fcis-8582	229	15	for	for	ADP
fcis-8582	229	16	nationalities	nationality	NOUN
fcis-8582	229	17	(	(	PUNCT
fcis-8582	229	18	natural	natural	ADJ
fcis-8582	229	19	science	science	NOUN
fcis-8582	229	20	edition	edition	NOUN
fcis-8582	229	21	)	)	PUNCT
fcis-8582	229	22	,	,	PUNCT
fcis-8582	229	23	vol	vol	NOUN
fcis-8582	229	24	.	.	PROPN
fcis-8582	230	1	45	45	NUM
fcis-8582	230	2	(	(	PUNCT
fcis-8582	230	3	2019	2019	NUM
fcis-8582	230	4	)	)	PUNCT
fcis-8582	230	5	no.2	no.2	PROPN
fcis-8582	230	6	,	,	PUNCT
fcis-8582	230	7	p.200	p.200	NOUN
fcis-8582	230	8	-	-	PUNCT
fcis-8582	230	9	205	205	NUM
fcis-8582	230	10	.	.	PUNCT
fcis-8582	231	1	[	[	X
fcis-8582	231	2	5	5	X
fcis-8582	231	3	]	]	PUNCT
fcis-8582	231	4	h.	h.	PROPN
fcis-8582	231	5	q.	q.	PROPN
fcis-8582	231	6	yang	yang	PROPN
fcis-8582	231	7	.	.	PUNCT
fcis-8582	232	1	economic	economic	ADJ
fcis-8582	232	2	mathematics	mathematic	NOUN
fcis-8582	232	3	-	-	PUNCT
fcis-8582	232	4	calculus(posts	calculus(post	NOUN
fcis-8582	232	5	and	and	CCONJ
fcis-8582	232	6	telecommunications	telecommunication	NOUN
fcis-8582	232	7	press	press	NOUN
fcis-8582	232	8	,	,	PUNCT
fcis-8582	232	9	china	china	PROPN
fcis-8582	232	10	2020	2020	NUM
fcis-8582	232	11	)	)	PUNCT
fcis-8582	232	12	,	,	PUNCT
fcis-8582	232	13	p.238	p.238	PROPN
fcis-8582	232	14	-	-	SYM
fcis-8582	232	15	239	239	NUM
fcis-8582	232	16	.(in	.(in	PUNCT
fcis-8582	232	17	chinese	chinese	ADJ
fcis-8582	232	18	)	)	PUNCT
fcis-8582	233	1	[	[	X
fcis-8582	233	2	m	m	X
fcis-8582	233	3	]	]	X
fcis-8582	233	4	,	,	PUNCT
fcis-8582	233	5	beijing	beijing	PROPN
fcis-8582	233	6	:	:	PUNCT
fcis-8582	233	7	posts	post	NOUN
fcis-8582	233	8	and	and	CCONJ
fcis-8582	233	9	telecommunications	telecommunication	NOUN
fcis-8582	233	10	press	press	NOUN
fcis-8582	233	11	,	,	PUNCT
fcis-8582	233	12	2020	2020	NUM
fcis-8582	233	13	:	:	PUNCT
fcis-8582	233	14	238	238	NUM
fcis-8582	233	15	-	-	SYM
fcis-8582	233	16	239	239	NUM
fcis-8582	233	17	.	.	PUNCT