id	sid	tid	token	lemma	pos
cuesj-205	1	1	tx_1	tx_1	PROPN
cuesj-205	1	2	~	~	X
cuesj-205	1	3	abs	ab	NOUN
cuesj-205	1	4	:	:	PUNCT
cuesj-205	1	5	at	at	ADP
cuesj-205	1	6	/	/	SYM
cuesj-205	1	7	add	add	VERB
cuesj-205	1	8	:	:	PUNCT
cuesj-205	1	9	tx_2	tx_2	PROPN
cuesj-205	1	10	~	~	NOUN
cuesj-205	1	11	abs	ab	NOUN
cuesj-205	1	12	:	:	PUNCT
cuesj-205	1	13	at	at	ADP
cuesj-205	1	14	6	6	NUM
cuesj-205	1	15	http://journals.cihanuniversity.edu.iq/index.php/cuesj	http://journals.cihanuniversity.edu.iq/index.php/cuesj	ADJ
cuesj-205	1	16	cuesj	cuesj	NOUN
cuesj-205	1	17	2020	2020	NUM
cuesj-205	1	18	,	,	PUNCT
cuesj-205	1	19	4	4	NUM
cuesj-205	1	20	(	(	PUNCT
cuesj-205	1	21	2	2	NUM
cuesj-205	1	22	):	):	PUNCT
cuesj-205	1	23	6	6	NUM
cuesj-205	1	24	-	-	SYM
cuesj-205	1	25	8	8	NUM
cuesj-205	1	26	research	research	NOUN
cuesj-205	1	27	article	article	NOUN
cuesj-205	1	28	series	series	NOUN
cuesj-205	1	29	solution	solution	NOUN
cuesj-205	1	30	for	for	ADP
cuesj-205	1	31	single	single	ADJ
cuesj-205	1	32	and	and	CCONJ
cuesj-205	1	33	system	system	NOUN
cuesj-205	1	34	of	of	ADP
cuesj-205	1	35	non	non	ADJ
cuesj-205	1	36	-	-	ADJ
cuesj-205	1	37	linear	linear	ADJ
cuesj-205	1	38	volterra	volterra	NOUN
cuesj-205	1	39	integral	integral	ADJ
cuesj-205	1	40	equations	equation	NOUN
cuesj-205	1	41	narmeen	narmeen	NUM
cuesj-205	1	42	n.	n.	NOUN
cuesj-205	1	43	nadir	nadir	PROPN
cuesj-205	1	44	*	*	PUNCT
cuesj-205	1	45	department	department	PROPN
cuesj-205	1	46	of	of	ADP
cuesj-205	1	47	petroleum	petroleum	NOUN
cuesj-205	1	48	equipment	equipment	NOUN
cuesj-205	1	49	,	,	PUNCT
cuesj-205	1	50	erbil	erbil	PROPN
cuesj-205	1	51	technology	technology	PROPN
cuesj-205	1	52	institute	institute	PROPN
cuesj-205	1	53	,	,	PUNCT
cuesj-205	1	54	erbil	erbil	PROPN
cuesj-205	1	55	polytechnic	polytechnic	PROPN
cuesj-205	1	56	university	university	PROPN
cuesj-205	1	57	,	,	PUNCT
cuesj-205	1	58	erbil	erbil	PROPN
cuesj-205	1	59	,	,	PUNCT
cuesj-205	1	60	iraqi	iraqi	ADJ
cuesj-205	1	61	abstract	abstract	NOUN
cuesj-205	1	62	in	in	ADP
cuesj-205	1	63	this	this	DET
cuesj-205	1	64	paper	paper	NOUN
cuesj-205	1	65	,	,	PUNCT
cuesj-205	1	66	taylor	taylor	PROPN
cuesj-205	1	67	series	series	PROPN
cuesj-205	1	68	expansion	expansion	NOUN
cuesj-205	1	69	is	be	AUX
cuesj-205	1	70	used	use	VERB
cuesj-205	1	71	for	for	ADP
cuesj-205	1	72	finding	find	VERB
cuesj-205	1	73	the	the	DET
cuesj-205	1	74	approximate	approximate	ADJ
cuesj-205	1	75	series	series	NOUN
cuesj-205	1	76	solution	solution	NOUN
cuesj-205	1	77	of	of	ADP
cuesj-205	1	78	single	single	ADJ
cuesj-205	1	79	and	and	CCONJ
cuesj-205	1	80	system	system	NOUN
cuesj-205	1	81	of	of	ADP
cuesj-205	1	82	non	non	ADJ
cuesj-205	1	83	-	-	ADJ
cuesj-205	1	84	linear	linear	ADJ
cuesj-205	1	85	volterra	volterra	NOUN
cuesj-205	1	86	integral	integral	ADJ
cuesj-205	1	87	equations	equation	NOUN
cuesj-205	1	88	of	of	ADP
cuesj-205	1	89	the	the	DET
cuesj-205	1	90	second	second	ADJ
cuesj-205	1	91	kind	kind	NOUN
cuesj-205	1	92	.	.	PUNCT
cuesj-205	2	1	the	the	DET
cuesj-205	2	2	method	method	NOUN
cuesj-205	2	3	allows	allow	VERB
cuesj-205	2	4	us	we	PRON
cuesj-205	2	5	to	to	PART
cuesj-205	2	6	overcome	overcome	VERB
cuesj-205	2	7	the	the	DET
cuesj-205	2	8	difficulty	difficulty	NOUN
cuesj-205	2	9	caused	cause	VERB
cuesj-205	2	10	by	by	ADP
cuesj-205	2	11	integrals	integral	NOUN
cuesj-205	2	12	and	and	CCONJ
cuesj-205	2	13	non	non	ADJ
cuesj-205	2	14	-	-	ADJ
cuesj-205	2	15	linearity	linearity	ADJ
cuesj-205	2	16	;	;	PUNCT
cuesj-205	2	17	also	also	ADV
cuesj-205	2	18	,	,	PUNCT
cuesj-205	2	19	it	it	PRON
cuesj-205	2	20	has	have	VERB
cuesj-205	2	21	more	more	ADV
cuesj-205	2	22	precise	precise	ADJ
cuesj-205	2	23	and	and	CCONJ
cuesj-205	2	24	rapidly	rapidly	ADV
cuesj-205	2	25	convergent	convergent	ADJ
cuesj-205	2	26	to	to	ADP
cuesj-205	2	27	the	the	DET
cuesj-205	2	28	exact	exact	ADJ
cuesj-205	2	29	solution	solution	NOUN
cuesj-205	2	30	.	.	PUNCT
cuesj-205	3	1	four	four	NUM
cuesj-205	3	2	examples	example	NOUN
cuesj-205	3	3	are	be	AUX
cuesj-205	3	4	considered	consider	VERB
cuesj-205	3	5	to	to	PART
cuesj-205	3	6	show	show	VERB
cuesj-205	3	7	the	the	DET
cuesj-205	3	8	accuracy	accuracy	NOUN
cuesj-205	3	9	and	and	CCONJ
cuesj-205	3	10	efficiency	efficiency	NOUN
cuesj-205	3	11	of	of	ADP
cuesj-205	3	12	the	the	DET
cuesj-205	3	13	method	method	NOUN
cuesj-205	3	14	keywords	keyword	NOUN
cuesj-205	3	15	:	:	PUNCT
cuesj-205	3	16	integral	integral	ADJ
cuesj-205	3	17	equations	equation	NOUN
cuesj-205	3	18	,	,	PUNCT
cuesj-205	3	19	non	non	ADJ
cuesj-205	3	20	-	-	ADJ
cuesj-205	3	21	linear	linear	ADJ
cuesj-205	3	22	,	,	PUNCT
cuesj-205	3	23	taylor	taylor	PROPN
cuesj-205	3	24	expansion	expansion	NOUN
cuesj-205	3	25	,	,	PUNCT
cuesj-205	3	26	approximate	approximate	ADJ
cuesj-205	3	27	solution	solution	NOUN
cuesj-205	3	28	introduction	introduction	NOUN
cuesj-205	3	29	one	one	NUM
cuesj-205	3	30	of	of	ADP
cuesj-205	3	31	the	the	DET
cuesj-205	3	32	most	most	ADV
cuesj-205	3	33	useful	useful	ADJ
cuesj-205	3	34	aspects	aspect	NOUN
cuesj-205	3	35	of	of	ADP
cuesj-205	3	36	numerical	numerical	ADJ
cuesj-205	3	37	analysis	analysis	NOUN
cuesj-205	3	38	is	be	AUX
cuesj-205	3	39	to	to	PART
cuesj-205	3	40	study	study	VERB
cuesj-205	3	41	approximate	approximate	ADJ
cuesj-205	3	42	or	or	CCONJ
cuesj-205	3	43	/	/	SYM
cuesj-205	3	44	and	and	CCONJ
cuesj-205	3	45	numerical	numerical	ADJ
cuesj-205	3	46	solution	solution	NOUN
cuesj-205	3	47	of	of	ADP
cuesj-205	3	48	mathematical	mathematical	ADJ
cuesj-205	3	49	equations	equation	NOUN
cuesj-205	3	50	,	,	PUNCT
cuesj-205	3	51	including	include	VERB
cuesj-205	3	52	differential	differential	NOUN
cuesj-205	3	53	and	and	CCONJ
cuesj-205	3	54	integral	integral	ADJ
cuesj-205	3	55	equations	equation	NOUN
cuesj-205	3	56	.	.	PUNCT
cuesj-205	4	1	the	the	DET
cuesj-205	4	2	integral	integral	ADJ
cuesj-205	4	3	equation	equation	NOUN
cuesj-205	4	4	appears	appear	VERB
cuesj-205	4	5	in	in	ADP
cuesj-205	4	6	many	many	ADJ
cuesj-205	4	7	scientific	scientific	ADJ
cuesj-205	4	8	problems	problem	NOUN
cuesj-205	4	9	,	,	PUNCT
cuesj-205	4	10	particularly	particularly	ADV
cuesj-205	4	11	,	,	PUNCT
cuesj-205	4	12	engineering	engineering	NOUN
cuesj-205	4	13	problems	problem	NOUN
cuesj-205	4	14	such	such	ADJ
cuesj-205	4	15	as	as	ADP
cuesj-205	4	16	fluid	fluid	ADJ
cuesj-205	4	17	and	and	CCONJ
cuesj-205	4	18	solid	solid	ADJ
cuesj-205	4	19	mechanics	mechanic	NOUN
cuesj-205	4	20	,	,	PUNCT
cuesj-205	4	21	for	for	ADP
cuesj-205	4	22	example	example	NOUN
cuesj-205	4	23	,	,	PUNCT
cuesj-205	4	24	potential	potential	ADJ
cuesj-205	4	25	flow	flow	NOUN
cuesj-205	4	26	theory	theory	NOUN
cuesj-205	4	27	,	,	PUNCT
cuesj-205	4	28	dynamics	dynamic	NOUN
cuesj-205	4	29	of	of	ADP
cuesj-205	4	30	population	population	NOUN
cuesj-205	4	31	,	,	PUNCT
cuesj-205	4	32	and	and	CCONJ
cuesj-205	4	33	elasticity	elasticity	NOUN
cuesj-205	4	34	of	of	ADP
cuesj-205	4	35	structures.[1	structures.[1	NOUN
cuesj-205	4	36	-	-	SYM
cuesj-205	4	37	3	3	NUM
cuesj-205	4	38	]	]	PUNCT
cuesj-205	4	39	at	at	ADP
cuesj-205	4	40	the	the	DET
cuesj-205	4	41	end	end	NOUN
cuesj-205	4	42	of	of	ADP
cuesj-205	4	43	the	the	DET
cuesj-205	4	44	18th	18th	ADJ
cuesj-205	4	45	century	century	NOUN
cuesj-205	4	46	,	,	PUNCT
cuesj-205	4	47	the	the	DET
cuesj-205	4	48	volterra	volterra	NOUN
cuesj-205	4	49	integral	integral	ADJ
cuesj-205	4	50	equation	equation	NOUN
cuesj-205	4	51	(	(	PUNCT
cuesj-205	4	52	vie	vie	NOUN
cuesj-205	4	53	)	)	PUNCT
cuesj-205	4	54	was	be	AUX
cuesj-205	4	55	introduced	introduce	VERB
cuesj-205	4	56	by	by	ADP
cuesj-205	4	57	volterra	volterra	NOUN
cuesj-205	4	58	,	,	PUNCT
cuesj-205	4	59	in	in	ADP
cuesj-205	4	60	which	which	PRON
cuesj-205	4	61	a	a	DET
cuesj-205	4	62	variable	variable	NOUN
cuesj-205	4	63	appears	appear	VERB
cuesj-205	4	64	at	at	ADP
cuesj-205	4	65	the	the	DET
cuesj-205	4	66	upper	upper	ADJ
cuesj-205	4	67	boundary	boundary	NOUN
cuesj-205	4	68	of	of	ADP
cuesj-205	4	69	the	the	DET
cuesj-205	4	70	integrals	integral	NOUN
cuesj-205	4	71	,	,	PUNCT
cuesj-205	4	72	and	and	CCONJ
cuesj-205	4	73	it	it	PRON
cuesj-205	4	74	has	have	VERB
cuesj-205	4	75	first	first	ADJ
cuesj-205	4	76	and	and	CCONJ
cuesj-205	4	77	second	second	ADJ
cuesj-205	4	78	kind.[4	kind.[4	NOUN
cuesj-205	4	79	]	]	X
cuesj-205	4	80	there	there	PRON
cuesj-205	4	81	are	be	VERB
cuesj-205	4	82	very	very	ADV
cuesj-205	4	83	few	few	ADJ
cuesj-205	4	84	available	available	ADJ
cuesj-205	4	85	techniques	technique	NOUN
cuesj-205	4	86	to	to	PART
cuesj-205	4	87	handle	handle	VERB
cuesj-205	4	88	the	the	DET
cuesj-205	4	89	solution	solution	NOUN
cuesj-205	4	90	of	of	ADP
cuesj-205	4	91	integral	integral	ADJ
cuesj-205	4	92	equation	equation	NOUN
cuesj-205	4	93	in	in	ADP
cuesj-205	4	94	general	general	ADJ
cuesj-205	4	95	,	,	PUNCT
cuesj-205	4	96	and	and	CCONJ
cuesj-205	4	97	non	non	ADJ
cuesj-205	4	98	-	-	ADJ
cuesj-205	4	99	linear	linear	ADJ
cuesj-205	4	100	integral	integral	ADJ
cuesj-205	4	101	equation	equation	NOUN
cuesj-205	4	102	in	in	ADP
cuesj-205	4	103	particular	particular	ADJ
cuesj-205	4	104	.	.	PUNCT
cuesj-205	5	1	therefore	therefore	ADV
cuesj-205	5	2	,	,	PUNCT
cuesj-205	5	3	we	we	PRON
cuesj-205	5	4	introduce	introduce	VERB
cuesj-205	5	5	approximation	approximation	NOUN
cuesj-205	5	6	,	,	PUNCT
cuesj-205	5	7	because	because	SCONJ
cuesj-205	5	8	we	we	PRON
cuesj-205	5	9	aim	aim	VERB
cuesj-205	5	10	to	to	PART
cuesj-205	5	11	carry	carry	VERB
cuesj-205	5	12	out	out	ADP
cuesj-205	5	13	some	some	DET
cuesj-205	5	14	mathematical	mathematical	ADJ
cuesj-205	5	15	calculation	calculation	NOUN
cuesj-205	5	16	involving	involve	VERB
cuesj-205	5	17	these	these	DET
cuesj-205	5	18	knowing	knowing	ADJ
cuesj-205	5	19	functions	function	NOUN
cuesj-205	5	20	such	such	ADJ
cuesj-205	5	21	as	as	ADP
cuesj-205	5	22	performing	perform	VERB
cuesj-205	5	23	integrations	integration	NOUN
cuesj-205	5	24	and	and	CCONJ
cuesj-205	5	25	differentiations	differentiation	NOUN
cuesj-205	5	26	.	.	PUNCT
cuesj-205	6	1	taylor	taylor	PROPN
cuesj-205	6	2	’s	’s	PART
cuesj-205	6	3	expansion	expansion	NOUN
cuesj-205	6	4	is	be	AUX
cuesj-205	6	5	a	a	DET
cuesj-205	6	6	traditional	traditional	ADJ
cuesj-205	6	7	and	and	CCONJ
cuesj-205	6	8	very	very	ADV
cuesj-205	6	9	important	important	ADJ
cuesj-205	6	10	tools	tool	NOUN
cuesj-205	6	11	in	in	ADP
cuesj-205	6	12	the	the	DET
cuesj-205	6	13	approximation	approximation	NOUN
cuesj-205	6	14	theory	theory	NOUN
cuesj-205	6	15	,	,	PUNCT
cuesj-205	6	16	in	in	ADP
cuesj-205	6	17	which	which	PRON
cuesj-205	6	18	we	we	PRON
cuesj-205	6	19	can	can	AUX
cuesj-205	6	20	replace	replace	VERB
cuesj-205	6	21	certain	certain	ADJ
cuesj-205	6	22	complicated	complicated	ADJ
cuesj-205	6	23	functions	function	NOUN
cuesj-205	6	24	by	by	ADP
cuesj-205	6	25	an	an	DET
cuesj-205	6	26	approximated	approximated	ADJ
cuesj-205	6	27	and	and	CCONJ
cuesj-205	6	28	simple	simple	ADJ
cuesj-205	6	29	polynomial.[5	polynomial.[5	ADV
cuesj-205	6	30	]	]	PUNCT
cuesj-205	6	31	taylor	taylor	PROPN
cuesj-205	6	32	’s	’s	PART
cuesj-205	6	33	expansion[6	expansion[6	NOUN
cuesj-205	6	34	]	]	PUNCT
cuesj-205	6	35	and	and	CCONJ
cuesj-205	6	36	its	its	PRON
cuesj-205	6	37	properties	property	NOUN
cuesj-205	6	38	are	be	AUX
cuesj-205	6	39	used	use	VERB
cuesj-205	6	40	to	to	PART
cuesj-205	6	41	find	find	VERB
cuesj-205	6	42	an	an	DET
cuesj-205	6	43	approximated	approximate	VERB
cuesj-205	6	44	solution	solution	NOUN
cuesj-205	6	45	of	of	ADP
cuesj-205	6	46	different	different	ADJ
cuesj-205	6	47	types	type	NOUN
cuesj-205	6	48	of	of	ADP
cuesj-205	6	49	equations	equation	NOUN
cuesj-205	6	50	.	.	PUNCT
cuesj-205	7	1	some	some	DET
cuesj-205	7	2	important	important	ADJ
cuesj-205	7	3	,	,	PUNCT
cuesj-205	7	4	efficient	efficient	ADJ
cuesj-205	7	5	,	,	PUNCT
cuesj-205	7	6	and	and	CCONJ
cuesj-205	7	7	classical	classical	ADJ
cuesj-205	7	8	numerical	numerical	ADJ
cuesj-205	7	9	techniques	technique	NOUN
cuesj-205	7	10	for	for	ADP
cuesj-205	7	11	solving	solve	VERB
cuesj-205	7	12	different	different	ADJ
cuesj-205	7	13	equations	equation	NOUN
cuesj-205	7	14	are	be	AUX
cuesj-205	7	15	based	base	VERB
cuesj-205	7	16	on	on	ADP
cuesj-205	7	17	the	the	DET
cuesj-205	7	18	taylor	taylor	PROPN
cuesj-205	7	19	series	series	PROPN
cuesj-205	7	20	expansion	expansion	NOUN
cuesj-205	7	21	,	,	PUNCT
cuesj-205	7	22	for	for	ADP
cuesj-205	7	23	instance	instance	NOUN
cuesj-205	7	24	,	,	PUNCT
cuesj-205	7	25	euler	euler	NOUN
cuesj-205	7	26	method	method	PROPN
cuesj-205	7	27	,	,	PUNCT
cuesj-205	7	28	modified	modify	VERB
cuesj-205	7	29	euler	euler	NOUN
cuesj-205	7	30	method	method	NOUN
cuesj-205	7	31	,	,	PUNCT
cuesj-205	7	32	and	and	CCONJ
cuesj-205	7	33	fourth	fourth	ADJ
cuesj-205	7	34	-	-	PUNCT
cuesj-205	7	35	order	order	NOUN
cuesj-205	7	36	runge	runge	NOUN
cuesj-205	7	37	–	–	PUNCT
cuesj-205	7	38	kutta	kutta	PROPN
cuesj-205	7	39	method.[7	method.[7	NOUN
cuesj-205	7	40	-	-	PUNCT
cuesj-205	7	41	10	10	NUM
cuesj-205	7	42	]	]	PUNCT
cuesj-205	7	43	many	many	ADJ
cuesj-205	7	44	works	work	VERB
cuesj-205	7	45	for	for	ADP
cuesj-205	7	46	finding	find	VERB
cuesj-205	7	47	a	a	DET
cuesj-205	7	48	numerical	numerical	ADJ
cuesj-205	7	49	solution	solution	NOUN
cuesj-205	7	50	of	of	ADP
cuesj-205	7	51	nonlinear	nonlinear	ADJ
cuesj-205	7	52	vies	vie	NOUN
cuesj-205	7	53	have	have	AUX
cuesj-205	7	54	been	be	AUX
cuesj-205	7	55	proposed	propose	VERB
cuesj-205	7	56	(	(	PUNCT
cuesj-205	7	57	see[11	see[11	VERB
cuesj-205	7	58	-	-	SYM
cuesj-205	7	59	13	13	NUM
cuesj-205	7	60	]	]	PUNCT
cuesj-205	7	61	)	)	PUNCT
cuesj-205	7	62	.	.	PUNCT
cuesj-205	8	1	kanwel	kanwel	PROPN
cuesj-205	8	2	and	and	CCONJ
cuesj-205	8	3	liu[14	liu[14	PROPN
cuesj-205	8	4	]	]	PUNCT
cuesj-205	8	5	presented	present	VERB
cuesj-205	8	6	an	an	DET
cuesj-205	8	7	algebraic	algebraic	ADJ
cuesj-205	8	8	technique	technique	NOUN
cuesj-205	8	9	based	base	VERB
cuesj-205	8	10	on	on	ADP
cuesj-205	8	11	the	the	DET
cuesj-205	8	12	taylor	taylor	PROPN
cuesj-205	8	13	expansion	expansion	NOUN
cuesj-205	8	14	technique	technique	NOUN
cuesj-205	8	15	to	to	PART
cuesj-205	8	16	find	find	VERB
cuesj-205	8	17	solution	solution	NOUN
cuesj-205	8	18	of	of	ADP
cuesj-205	8	19	linear	linear	ADJ
cuesj-205	8	20	integral	integral	ADJ
cuesj-205	8	21	equation	equation	NOUN
cuesj-205	8	22	,	,	PUNCT
cuesj-205	8	23	while	while	SCONJ
cuesj-205	8	24	saeed[5	saeed[5	PROPN
cuesj-205	8	25	]	]	PUNCT
cuesj-205	8	26	used	use	VERB
cuesj-205	8	27	this	this	DET
cuesj-205	8	28	expansion	expansion	NOUN
cuesj-205	8	29	to	to	PART
cuesj-205	8	30	treat	treat	VERB
cuesj-205	8	31	system	system	NOUN
cuesj-205	8	32	of	of	ADP
cuesj-205	8	33	linear	linear	PROPN
cuesj-205	8	34	problems	problem	NOUN
cuesj-205	8	35	,	,	PUNCT
cuesj-205	8	36	including	include	VERB
cuesj-205	8	37	volterra	volterra	NOUN
cuesj-205	8	38	and	and	CCONJ
cuesj-205	8	39	fredholm	fredholm	VERB
cuesj-205	8	40	integral	integral	ADJ
cuesj-205	8	41	equations	equation	NOUN
cuesj-205	8	42	and	and	CCONJ
cuesj-205	8	43	integrodifferential	integrodifferential	ADJ
cuesj-205	8	44	equations	equation	NOUN
cuesj-205	8	45	.	.	PUNCT
cuesj-205	9	1	in	in	ADP
cuesj-205	9	2	this	this	DET
cuesj-205	9	3	study	study	NOUN
cuesj-205	9	4	,	,	PUNCT
cuesj-205	9	5	we	we	PRON
cuesj-205	9	6	are	be	AUX
cuesj-205	9	7	concerned	concerned	ADJ
cuesj-205	9	8	with	with	ADP
cuesj-205	9	9	the	the	DET
cuesj-205	9	10	use	use	NOUN
cuesj-205	9	11	of	of	ADP
cuesj-205	9	12	taylor	taylor	PROPN
cuesj-205	9	13	series	series	PROPN
cuesj-205	9	14	expansion	expansion	NOUN
cuesj-205	9	15	to	to	PART
cuesj-205	9	16	find	find	VERB
cuesj-205	9	17	an	an	DET
cuesj-205	9	18	approximate	approximate	ADJ
cuesj-205	9	19	series	series	NOUN
cuesj-205	9	20	solution	solution	NOUN
cuesj-205	9	21	of	of	ADP
cuesj-205	9	22	the	the	DET
cuesj-205	9	23	single	single	ADJ
cuesj-205	9	24	and	and	CCONJ
cuesj-205	9	25	system	system	NOUN
cuesj-205	9	26	of	of	ADP
cuesj-205	9	27	non	non	ADJ
cuesj-205	9	28	-	-	ADJ
cuesj-205	9	29	linear	linear	ADJ
cuesj-205	9	30	vies	vie	NOUN
cuesj-205	9	31	of	of	ADP
cuesj-205	9	32	the	the	DET
cuesj-205	9	33	second	second	ADJ
cuesj-205	9	34	kind	kind	NOUN
cuesj-205	9	35	,	,	PUNCT
cuesj-205	9	36	that	that	ADV
cuesj-205	9	37	is	is	ADV
cuesj-205	9	38	,	,	PUNCT
cuesj-205	9	39	u	u	NOUN
cuesj-205	9	40	x	x	X
cuesj-205	9	41	v	v	ADP
cuesj-205	9	42	x	x	X
cuesj-205	9	43	k	k	NOUN
cuesj-205	9	44	x	x	SYM
cuesj-205	9	45	t	t	NOUN
cuesj-205	9	46	u	u	X
cuesj-205	10	1	t	t	X
cuesj-205	10	2	dt	dt	X
cuesj-205	10	3	a	a	X
cuesj-205	10	4	x	x	X
cuesj-205	10	5	(	(	PUNCT
cuesj-205	10	6	)	)	PUNCT
cuesj-205	10	7	(	(	PUNCT
cuesj-205	10	8	)	)	PUNCT
cuesj-205	10	9	(	(	PUNCT
cuesj-205	10	10	,	,	PUNCT
cuesj-205	10	11	,	,	PUNCT
cuesj-205	10	12	(	(	PUNCT
cuesj-205	10	13	)	)	PUNCT
cuesj-205	10	14	)	)	PUNCT
cuesj-205	10	15	,	,	PUNCT
cuesj-205	10	16	�	�	PROPN
cuesj-205	10	17	�	�	PROPN
cuesj-205	10	18	�	�	PROPN
cuesj-205	10	19	(	(	PUNCT
cuesj-205	10	20	1	1	NUM
cuesj-205	10	21	)	)	PUNCT
cuesj-205	10	22	where	where	SCONJ
cuesj-205	10	23	v(x	v(x	PROPN
cuesj-205	10	24	)	)	PUNCT
cuesj-205	10	25	is	be	AUX
cuesj-205	10	26	known	know	VERB
cuesj-205	10	27	,	,	PUNCT
cuesj-205	10	28	and	and	CCONJ
cuesj-205	10	29	it	it	PRON
cuesj-205	10	30	is	be	AUX
cuesj-205	10	31	continuous	continuous	ADJ
cuesj-205	10	32	and	and	CCONJ
cuesj-205	10	33	differentiable	differentiable	ADJ
cuesj-205	10	34	on	on	ADP
cuesj-205	10	35	the	the	DET
cuesj-205	10	36	given	give	VERB
cuesj-205	10	37	domain	domain	NOUN
cuesj-205	10	38	(	(	PUNCT
cuesj-205	10	39	a	a	DET
cuesj-205	10	40	,	,	PUNCT
cuesj-205	10	41	b	b	NOUN
cuesj-205	10	42	)	)	PUNCT
cuesj-205	10	43	,	,	PUNCT
cuesj-205	10	44	and	and	CCONJ
cuesj-205	10	45	,	,	PUNCT
cuesj-205	10	46	u(x	u(x	PROPN
cuesj-205	10	47	)	)	PUNCT
cuesj-205	10	48	is	be	AUX
cuesj-205	10	49	undetermined	undetermined	ADJ
cuesj-205	10	50	and	and	CCONJ
cuesj-205	10	51	required	required	ADJ
cuesj-205	10	52	function	function	NOUN
cuesj-205	10	53	,	,	PUNCT
cuesj-205	10	54	and	and	CCONJ
cuesj-205	10	55	k	k	PROPN
cuesj-205	10	56	(	(	PUNCT
cuesj-205	10	57	x	x	PROPN
cuesj-205	10	58	,	,	PUNCT
cuesj-205	10	59	t	t	PROPN
cuesj-205	10	60	,	,	PUNCT
cuesj-205	10	61	u(t	u(t	PROPN
cuesj-205	10	62	)	)	PUNCT
cuesj-205	10	63	)	)	PUNCT
cuesj-205	10	64	is	be	AUX
cuesj-205	10	65	called	call	VERB
cuesj-205	10	66	kernel	kernel	PROPN
cuesj-205	10	67	function	function	NOUN
cuesj-205	10	68	and	and	CCONJ
cuesj-205	10	69	continuous	continuous	ADJ
cuesj-205	10	70	with	with	ADP
cuesj-205	10	71	respect	respect	NOUN
cuesj-205	10	72	to	to	ADP
cuesj-205	10	73	the	the	DET
cuesj-205	10	74	three	three	NUM
cuesj-205	10	75	variables	variable	NOUN
cuesj-205	10	76	x	x	NOUN
cuesj-205	10	77	,	,	PUNCT
cuesj-205	10	78	t	t	PROPN
cuesj-205	10	79	and	and	CCONJ
cuesj-205	10	80	u(t	u(t	NOUN
cuesj-205	10	81	)	)	PUNCT
cuesj-205	10	82	on	on	ADP
cuesj-205	10	83	the	the	DET
cuesj-205	10	84	domain	domain	NOUN
cuesj-205	10	85	a≤x≤b	a≤x≤b	ADP
cuesj-205	10	86	,	,	PUNCT
cuesj-205	10	87	a≤t≤x	a≤t≤x	PROPN
cuesj-205	10	88	.	.	PUNCT
cuesj-205	11	1	solution	solution	NOUN
cuesj-205	11	2	of	of	ADP
cuesj-205	11	3	equation	equation	NOUN
cuesj-205	11	4	(	(	PUNCT
cuesj-205	11	5	1	1	NUM
cuesj-205	11	6	)	)	PUNCT
cuesj-205	11	7	by	by	ADP
cuesj-205	11	8	taylor	taylor	NOUN
cuesj-205	11	9	expansion	expansion	NOUN
cuesj-205	11	10	expand	expand	VERB
cuesj-205	11	11	u(x	u(x	NOUN
cuesj-205	11	12	)	)	PUNCT
cuesj-205	11	13	in	in	ADP
cuesj-205	11	14	taylor	taylor	PROPN
cuesj-205	11	15	series	series	PROPN
cuesj-205	11	16	expansion	expansion	NOUN
cuesj-205	11	17	at	at	ADP
cuesj-205	11	18	x	x	X
cuesj-205	11	19	=	=	NOUN
cuesj-205	11	20	c	c	X
cuesj-205	11	21	,	,	PUNCT
cuesj-205	11	22	i.e.	i.e.	X
cuesj-205	11	23	corresponding	corresponding	ADJ
cuesj-205	11	24	author	author	NOUN
cuesj-205	11	25	:	:	PUNCT
cuesj-205	11	26	narmeen	narmeen	ADJ
cuesj-205	11	27	n.	n.	NOUN
cuesj-205	11	28	nadir	nadir	NOUN
cuesj-205	11	29	,	,	PUNCT
cuesj-205	11	30	department	department	NOUN
cuesj-205	11	31	of	of	ADP
cuesj-205	11	32	petroleum	petroleum	NOUN
cuesj-205	11	33	equipment	equipment	NOUN
cuesj-205	11	34	,	,	PUNCT
cuesj-205	11	35	erbil	erbil	PROPN
cuesj-205	11	36	technology	technology	PROPN
cuesj-205	11	37	institute	institute	PROPN
cuesj-205	11	38	,	,	PUNCT
cuesj-205	11	39	erbil	erbil	PROPN
cuesj-205	11	40	polytechnic	polytechnic	PROPN
cuesj-205	11	41	university	university	PROPN
cuesj-205	11	42	,	,	PUNCT
cuesj-205	11	43	erbil	erbil	PROPN
cuesj-205	11	44	,	,	PUNCT
cuesj-205	11	45	iraqi	iraqi	ADJ
cuesj-205	11	46	e	e	NOUN
cuesj-205	11	47	-	-	NOUN
cuesj-205	11	48	mail	mail	NOUN
cuesj-205	11	49	:	:	PUNCT
cuesj-205	11	50	narmeen1712@gmail.com	narmeen1712@gmail.com	X
cuesj-205	11	51	received	receive	VERB
cuesj-205	11	52	:	:	PUNCT
cuesj-205	11	53	jan	jan	PROPN
cuesj-205	11	54	12	12	NUM
cuesj-205	11	55	,	,	PUNCT
cuesj-205	11	56	2020	2020	NUM
cuesj-205	11	57	accepted	accept	VERB
cuesj-205	11	58	:	:	PUNCT
cuesj-205	11	59	feb	feb	PROPN
cuesj-205	11	60	16	16	NUM
cuesj-205	11	61	,	,	PUNCT
cuesj-205	11	62	2020	2020	NUM
cuesj-205	11	63	published	publish	VERB
cuesj-205	11	64	:	:	PUNCT
cuesj-205	11	65	jul	jul	PROPN
cuesj-205	11	66	20	20	NUM
cuesj-205	11	67	,	,	PUNCT
cuesj-205	11	68	2020	2020	NUM
cuesj-205	11	69	doi	doi	NOUN
cuesj-205	11	70	:	:	PUNCT
cuesj-205	11	71	10.24086	10.24086	NUM
cuesj-205	11	72	/	/	SYM
cuesj-205	11	73	cuesj.v4n2y2020.pp6	cuesj.v4n2y2020.pp6	NOUN
cuesj-205	11	74	-	-	SYM
cuesj-205	11	75	8	8	NUM
cuesj-205	11	76	copyright	copyright	NOUN
cuesj-205	11	77	©	©	PROPN
cuesj-205	11	78	2020	2020	NUM
cuesj-205	11	79	narmeen	narmeen	ADJ
cuesj-205	11	80	n.	n.	NOUN
cuesj-205	11	81	nadir	nadir	NOUN
cuesj-205	11	82	.	.	PUNCT
cuesj-205	12	1	this	this	PRON
cuesj-205	12	2	is	be	AUX
cuesj-205	12	3	an	an	DET
cuesj-205	12	4	open	open	ADJ
cuesj-205	12	5	-	-	PUNCT
cuesj-205	12	6	access	access	NOUN
cuesj-205	12	7	article	article	NOUN
cuesj-205	12	8	distributed	distribute	VERB
cuesj-205	12	9	under	under	ADP
cuesj-205	12	10	the	the	DET
cuesj-205	12	11	creative	creative	ADJ
cuesj-205	12	12	commons	common	NOUN
cuesj-205	12	13	attribution	attribution	NOUN
cuesj-205	12	14	license	license	NOUN
cuesj-205	12	15	(	(	PUNCT
cuesj-205	12	16	cc	cc	NOUN
cuesj-205	12	17	by	by	ADP
cuesj-205	12	18	-	-	PUNCT
cuesj-205	12	19	nc	nc	VERB
cuesj-205	12	20	-	-	PROPN
cuesj-205	12	21	nd	nd	PRON
cuesj-205	12	22	4.0	4.0	NUM
cuesj-205	12	23	)	)	PUNCT
cuesj-205	12	24	.	.	PUNCT
cuesj-205	13	1	cihan	cihan	VERB
cuesj-205	13	2	university	university	NOUN
cuesj-205	13	3	-	-	PUNCT
cuesj-205	13	4	erbil	erbil	PROPN
cuesj-205	13	5	scientific	scientific	ADJ
cuesj-205	13	6	journal	journal	NOUN
cuesj-205	13	7	(	(	PUNCT
cuesj-205	13	8	cuesj	cuesj	PROPN
cuesj-205	13	9	)	)	PUNCT
cuesj-205	13	10	nadir	nadir	NOUN
cuesj-205	13	11	:	:	PUNCT
cuesj-205	13	12	solution	solution	NOUN
cuesj-205	13	13	for	for	ADP
cuesj-205	13	14	single	single	ADJ
cuesj-205	13	15	and	and	CCONJ
cuesj-205	13	16	system	system	NOUN
cuesj-205	13	17	of	of	ADP
cuesj-205	13	18	non	non	ADJ
cuesj-205	13	19	-	-	ADJ
cuesj-205	13	20	linear	linear	ADJ
cuesj-205	13	21	volterra	volterra	NOUN
cuesj-205	13	22	integral	integral	ADJ
cuesj-205	13	23	equations	equation	NOUN
cuesj-205	13	24	7	7	NUM
cuesj-205	13	25	http://journals.cihanuniversity.edu.iq/index.php/cuesj	http://journals.cihanuniversity.edu.iq/index.php/cuesj	ADJ
cuesj-205	13	26	cuesj	cuesj	NOUN
cuesj-205	13	27	2020	2020	NUM
cuesj-205	13	28	,	,	PUNCT
cuesj-205	13	29	4	4	NUM
cuesj-205	13	30	(	(	PUNCT
cuesj-205	13	31	2	2	NUM
cuesj-205	13	32	):	):	PUNCT
cuesj-205	13	33	6	6	NUM
cuesj-205	13	34	-	-	SYM
cuesj-205	13	35	8	8	NUM
cuesj-205	13	36	u	u	NOUN
cuesj-205	13	37	x	x	NOUN
cuesj-205	13	38	i	i	NOUN
cuesj-205	13	39	x	x	X
cuesj-205	13	40	a	a	DET
cuesj-205	13	41	u	u	NOUN
cuesj-205	13	42	ai	ai	VERB
cuesj-205	13	43	i	i	PRON
cuesj-205	13	44	i	i	PRON
cuesj-205	13	45	(	(	PUNCT
cuesj-205	13	46	)	)	PUNCT
cuesj-205	13	47	!	!	PUNCT
cuesj-205	14	1	(	(	PUNCT
cuesj-205	14	2	)	)	PUNCT
cuesj-205	14	3	(	(	PUNCT
cuesj-205	14	4	)	)	PUNCT
cuesj-205	14	5	(	(	PUNCT
cuesj-205	14	6	)	)	PUNCT
cuesj-205	14	7	�	�	PROPN
cuesj-205	14	8	�	�	PROPN
cuesj-205	14	9	�	�	PROPN
cuesj-205	14	10	�	�	PROPN
cuesj-205	14	11	�	�	PROPN
cuesj-205	14	12	1	1	NUM
cuesj-205	14	13	0	0	NUM
cuesj-205	14	14	(	(	PUNCT
cuesj-205	14	15	2	2	NUM
cuesj-205	14	16	)	)	PUNCT
cuesj-205	14	17	hereafter	hereafter	ADV
cuesj-205	14	18	,	,	PUNCT
cuesj-205	14	19	we	we	PRON
cuesj-205	14	20	will	will	AUX
cuesj-205	14	21	attempt	attempt	VERB
cuesj-205	14	22	to	to	PART
cuesj-205	14	23	find	find	VERB
cuesj-205	14	24	u	u	PRON
cuesj-205	14	25	(	(	PUNCT
cuesj-205	14	26	a	a	NOUN
cuesj-205	14	27	)	)	PUNCT
cuesj-205	14	28	,	,	PUNCT
cuesj-205	14	29	u	u	NOUN
cuesj-205	14	30	’	'	PUNCT
cuesj-205	14	31	(	(	PUNCT
cuesj-205	14	32	a	a	NOUN
cuesj-205	14	33	)	)	PUNCT
cuesj-205	14	34	,	,	PUNCT
cuesj-205	14	35	u	u	NOUN
cuesj-205	14	36	”	"	PUNCT
cuesj-205	14	37	(	(	PUNCT
cuesj-205	14	38	a	a	NOUN
cuesj-205	14	39	)	)	PUNCT
cuesj-205	14	40	.	.	PUNCT
cuesj-205	15	1	when	when	SCONJ
cuesj-205	15	2	we	we	PRON
cuesj-205	15	3	put	put	VERB
cuesj-205	15	4	x	x	NOUN
cuesj-205	15	5	=	=	NOUN
cuesj-205	15	6	a	a	NOUN
cuesj-205	15	7	,	,	PUNCT
cuesj-205	15	8	in	in	ADP
cuesj-205	15	9	equation	equation	NOUN
cuesj-205	15	10	(	(	PUNCT
cuesj-205	15	11	1	1	X
cuesj-205	15	12	)	)	PUNCT
cuesj-205	15	13	we	we	PRON
cuesj-205	15	14	have	have	VERB
cuesj-205	15	15	u	u	NOUN
cuesj-205	15	16	(	(	PUNCT
cuesj-205	15	17	a)=v	a)=v	PROPN
cuesj-205	15	18	(	(	PUNCT
cuesj-205	15	19	a	a	NOUN
cuesj-205	15	20	)	)	PUNCT
cuesj-205	15	21	.	.	PUNCT
cuesj-205	16	1	take	take	VERB
cuesj-205	16	2	the	the	DET
cuesj-205	16	3	first	first	ADJ
cuesj-205	16	4	derivative	derivative	NOUN
cuesj-205	16	5	for	for	ADP
cuesj-205	16	6	equation	equation	NOUN
cuesj-205	16	7	(	(	PUNCT
cuesj-205	16	8	1	1	NUM
cuesj-205	16	9	)	)	PUNCT
cuesj-205	16	10	with	with	ADP
cuesj-205	16	11	respect	respect	NOUN
cuesj-205	16	12	to	to	ADP
cuesj-205	16	13	x	x	SYM
cuesj-205	16	14	using	use	VERB
cuesj-205	16	15	generalized	generalized	ADJ
cuesj-205	16	16	leibnitz	leibnitz	NOUN
cuesj-205	16	17	formula[9	formula[9	PUNCT
cuesj-205	16	18	]	]	PUNCT
cuesj-205	16	19	and	and	CCONJ
cuesj-205	16	20	get	get	VERB
cuesj-205	16	21	the	the	DET
cuesj-205	16	22	different	different	ADJ
cuesj-205	16	23	equations	equation	NOUN
cuesj-205	16	24	such	such	ADJ
cuesj-205	16	25	as	as	ADP
cuesj-205	16	26	first	first	ADJ
cuesj-205	16	27	-	-	PUNCT
cuesj-205	16	28	order	order	NOUN
cuesj-205	16	29	approximation	approximation	NOUN
cuesj-205	16	30	which	which	PRON
cuesj-205	16	31	is	be	AUX
cuesj-205	16	32	known	know	VERB
cuesj-205	16	33	as	as	ADP
cuesj-205	16	34	euler	euler	NOUN
cuesj-205	16	35	’s	’s	PART
cuesj-205	16	36	method	method	NOUN
cuesj-205	16	37	,	,	PUNCT
cuesj-205	16	38	second	second	ADJ
cuesj-205	16	39	-	-	PUNCT
cuesj-205	16	40	order	order	NOUN
cuesj-205	16	41	approximation	approximation	NOUN
cuesj-205	16	42	which	which	PRON
cuesj-205	16	43	is	be	AUX
cuesj-205	16	44	called	call	VERB
cuesj-205	16	45	predictor	predictor	NOUN
cuesj-205	16	46	-	-	PUNCT
cuesj-205	16	47	corrector	corrector	NOUN
cuesj-205	16	48	or	or	CCONJ
cuesj-205	16	49	modified	modify	VERB
cuesj-205	16	50	euler	euler	NOUN
cuesj-205	16	51	method	method	NOUN
cuesj-205	16	52	and	and	CCONJ
cuesj-205	16	53	fourth	fourth	ADJ
cuesj-205	16	54	-	-	PUNCT
cuesj-205	16	55	order	order	NOUN
cuesj-205	16	56	approximation	approximation	NOUN
cuesj-205	16	57	which	which	PRON
cuesj-205	16	58	is	be	AUX
cuesj-205	16	59	called	call	VERB
cuesj-205	16	60	fourth	fourth	ADJ
cuesj-205	16	61	runge	runge	NOUN
cuesj-205	16	62	–	–	PUNCT
cuesj-205	16	63	kutta	kutta	PROPN
cuesj-205	16	64	scheme.[7	scheme.[7	NOUN
cuesj-205	16	65	-	-	PUNCT
cuesj-205	16	66	10	10	NUM
cuesj-205	16	67	]	]	PUNCT
cuesj-205	16	68	in	in	ADP
cuesj-205	16	69	this	this	DET
cuesj-205	16	70	paper	paper	NOUN
cuesj-205	16	71	,	,	PUNCT
cuesj-205	16	72	we	we	PRON
cuesj-205	16	73	were	be	AUX
cuesj-205	16	74	concerned	concerned	ADJ
cuesj-205	16	75	to	to	PART
cuesj-205	16	76	use	use	VERB
cuesj-205	16	77	the	the	DET
cuesj-205	16	78	taylor	taylor	PROPN
cuesj-205	16	79	series	series	PROPN
cuesj-205	16	80	expansion	expansion	NOUN
cuesj-205	16	81	(	(	PUNCT
cuesj-205	16	82	2	2	NUM
cuesj-205	16	83	)	)	PUNCT
cuesj-205	16	84	to	to	PART
cuesj-205	16	85	find	find	VERB
cuesj-205	16	86	an	an	DET
cuesj-205	16	87	approximate	approximate	ADJ
cuesj-205	16	88	solution	solution	NOUN
cuesj-205	16	89	of	of	ADP
cuesj-205	16	90	the	the	DET
cuesj-205	16	91	nonlinear	nonlinear	PROPN
cuesj-205	16	92	vie	vie	PROPN
cuesj-205	16	93	of	of	ADP
cuesj-205	16	94	the	the	DET
cuesj-205	16	95	second	second	ADJ
cuesj-205	16	96	kind	kind	NOUN
cuesj-205	16	97	.	.	PUNCT
cuesj-205	17	1	therefore	therefore	ADV
cuesj-205	17	2	�	�	PROPN
cuesj-205	17	3	�	�	PROPN
cuesj-205	17	4	�	�	PROPN
cuesj-205	17	5	�	�	PROPN
cuesj-205	17	6	�	�	PROPN
cuesj-205	17	7	�	�	PROPN
cuesj-205	17	8	�	�	PROPN
cuesj-205	17	9	u	u	NOUN
cuesj-205	17	10	x	x	PROPN
cuesj-205	17	11	v	v	NOUN
cuesj-205	17	12	x	x	X
cuesj-205	17	13	k	k	NOUN
cuesj-205	17	14	x	x	SYM
cuesj-205	17	15	t	t	NOUN
cuesj-205	17	16	u	u	NOUN
cuesj-205	18	1	t	t	X
cuesj-205	18	2	dt	dt	X
cuesj-205	19	1	k	k	NOUN
cuesj-205	19	2	x	x	PUNCT
cuesj-205	19	3	x	x	PUNCT
cuesj-205	19	4	u	u	NOUN
cuesj-205	19	5	x	x	X
cuesj-205	19	6	a	a	X
cuesj-205	19	7	x	x	X
cuesj-205	19	8	(	(	PUNCT
cuesj-205	19	9	)	)	PUNCT
cuesj-205	19	10	(	(	PUNCT
cuesj-205	19	11	)	)	PUNCT
cuesj-205	19	12	(	(	PUNCT
cuesj-205	19	13	,	,	PUNCT
cuesj-205	19	14	,	,	PUNCT
cuesj-205	19	15	(	(	PUNCT
cuesj-205	19	16	)	)	PUNCT
cuesj-205	19	17	)	)	PUNCT
cuesj-205	19	18	(	(	PUNCT
cuesj-205	19	19	,	,	PUNCT
cuesj-205	19	20	,	,	PUNCT
cuesj-205	19	21	(	(	PUNCT
cuesj-205	19	22	)	)	PUNCT
cuesj-205	19	23	)	)	PUNCT
cuesj-205	19	24	,	,	PUNCT
cuesj-205	19	25	(	(	PUNCT
cuesj-205	19	26	3	3	X
cuesj-205	19	27	)	)	PUNCT
cuesj-205	19	28	when	when	SCONJ
cuesj-205	19	29	we	we	PRON
cuesj-205	19	30	put	put	VERB
cuesj-205	19	31	x	x	NOUN
cuesj-205	19	32	=	=	NOUN
cuesj-205	19	33	a	a	NOUN
cuesj-205	19	34	,	,	PUNCT
cuesj-205	19	35	in	in	ADP
cuesj-205	19	36	this	this	DET
cuesj-205	19	37	equation	equation	NOUN
cuesj-205	19	38	we	we	PRON
cuesj-205	19	39	have	have	VERB
cuesj-205	19	40	�	�	PROPN
cuesj-205	19	41	�	�	PROPN
cuesj-205	19	42	�	�	PROPN
cuesj-205	19	43	�	�	PROPN
cuesj-205	19	44	u	u	PROPN
cuesj-205	19	45	a	a	DET
cuesj-205	19	46	v	v	NOUN
cuesj-205	19	47	a	a	DET
cuesj-205	19	48	k	k	NOUN
cuesj-205	19	49	a	a	DET
cuesj-205	19	50	a	a	DET
cuesj-205	19	51	u	u	NOUN
cuesj-205	19	52	a	a	X
cuesj-205	19	53	(	(	PUNCT
cuesj-205	19	54	)	)	PUNCT
cuesj-205	19	55	(	(	PUNCT
cuesj-205	19	56	)	)	PUNCT
cuesj-205	19	57	(	(	PUNCT
cuesj-205	19	58	,	,	PUNCT
cuesj-205	19	59	,	,	PUNCT
cuesj-205	19	60	(	(	PUNCT
cuesj-205	19	61	)	)	PUNCT
cuesj-205	19	62	)	)	PUNCT
cuesj-205	19	63	.	.	PUNCT
cuesj-205	20	1	again	again	ADV
cuesj-205	20	2	,	,	PUNCT
cuesj-205	20	3	to	to	PART
cuesj-205	20	4	find	find	VERB
cuesj-205	20	5	u	u	NOUN
cuesj-205	20	6	”	"	PUNCT
cuesj-205	20	7	(	(	PUNCT
cuesj-205	20	8	a	a	NOUN
cuesj-205	20	9	)	)	PUNCT
cuesj-205	20	10	,	,	PUNCT
cuesj-205	20	11	differentiate	differentiate	VERB
cuesj-205	20	12	equation	equation	NOUN
cuesj-205	20	13	(	(	PUNCT
cuesj-205	20	14	3	3	NUM
cuesj-205	20	15	)	)	PUNCT
cuesj-205	20	16	with	with	ADP
cuesj-205	20	17	respect	respect	NOUN
cuesj-205	20	18	to	to	ADP
cuesj-205	20	19	x	x	PUNCT
cuesj-205	20	20	and	and	CCONJ
cuesj-205	20	21	get	get	VERB
cuesj-205	20	22	�	�	PROPN
cuesj-205	20	23	�	�	PROPN
cuesj-205	20	24	�	�	PROPN
cuesj-205	20	25	�	�	PROPN
cuesj-205	20	26	�	�	PROPN
cuesj-205	20	27	�	�	PROPN
cuesj-205	20	28	�	�	PROPN
cuesj-205	20	29	�	�	PROPN
cuesj-205	20	30	�	�	PROPN
cuesj-205	20	31	�	�	PROPN
cuesj-205	20	32	�	�	PROPN
cuesj-205	20	33	u	u	NOUN
cuesj-205	20	34	x	x	PROPN
cuesj-205	20	35	v	v	NOUN
cuesj-205	20	36	x	x	X
cuesj-205	20	37	k	k	NOUN
cuesj-205	20	38	x	x	SYM
cuesj-205	20	39	t	t	NOUN
cuesj-205	20	40	u	u	NOUN
cuesj-205	20	41	t	t	X
cuesj-205	20	42	dt	dt	X
cuesj-205	21	1	k	k	NOUN
cuesj-205	21	2	x	x	PUNCT
cuesj-205	21	3	x	x	PUNCT
cuesj-205	21	4	u	u	NOUN
cuesj-205	21	5	x	x	X
cuesj-205	21	6	a	a	X
cuesj-205	21	7	x	x	X
cuesj-205	21	8	(	(	PUNCT
cuesj-205	21	9	)	)	PUNCT
cuesj-205	21	10	(	(	PUNCT
cuesj-205	21	11	)	)	PUNCT
cuesj-205	21	12	(	(	PUNCT
cuesj-205	21	13	,	,	PUNCT
cuesj-205	21	14	,	,	PUNCT
cuesj-205	21	15	(	(	PUNCT
cuesj-205	21	16	)	)	PUNCT
cuesj-205	21	17	)	)	PUNCT
cuesj-205	21	18	(	(	PUNCT
cuesj-205	21	19	,	,	PUNCT
cuesj-205	21	20	,	,	PUNCT
cuesj-205	21	21	(	(	PUNCT
cuesj-205	21	22	)	)	PUNCT
cuesj-205	21	23	)	)	PUNCT
cuesj-205	21	24	2	2	NUM
cuesj-205	21	25	(	(	PUNCT
cuesj-205	21	26	4	4	NUM
cuesj-205	21	27	)	)	PUNCT
cuesj-205	21	28	again	again	ADV
cuesj-205	21	29	,	,	PUNCT
cuesj-205	21	30	when	when	SCONJ
cuesj-205	21	31	setting	set	VERB
cuesj-205	21	32	x	x	X
cuesj-205	21	33	=	=	NOUN
cuesj-205	21	34	a	a	NOUN
cuesj-205	21	35	,	,	PUNCT
cuesj-205	21	36	in	in	ADP
cuesj-205	21	37	equation	equation	NOUN
cuesj-205	21	38	(	(	PUNCT
cuesj-205	21	39	4	4	X
cuesj-205	21	40	)	)	PUNCT
cuesj-205	21	41	we	we	PRON
cuesj-205	21	42	get	get	VERB
cuesj-205	21	43	�	�	PROPN
cuesj-205	21	44	�	�	PROPN
cuesj-205	21	45	�	�	PROPN
cuesj-205	21	46	�	�	PROPN
cuesj-205	21	47	�	�	PROPN
cuesj-205	21	48	�	�	PROPN
cuesj-205	21	49	�	�	PROPN
cuesj-205	21	50	u	u	PROPN
cuesj-205	21	51	a	a	DET
cuesj-205	21	52	v	v	NOUN
cuesj-205	21	53	a	a	DET
cuesj-205	21	54	k	k	NOUN
cuesj-205	21	55	a	a	DET
cuesj-205	21	56	a	a	DET
cuesj-205	21	57	u	u	NOUN
cuesj-205	21	58	a	a	X
cuesj-205	21	59	(	(	PUNCT
cuesj-205	21	60	)	)	PUNCT
cuesj-205	21	61	(	(	PUNCT
cuesj-205	21	62	)	)	PUNCT
cuesj-205	21	63	(	(	PUNCT
cuesj-205	21	64	,	,	PUNCT
cuesj-205	21	65	,	,	PUNCT
cuesj-205	21	66	(	(	PUNCT
cuesj-205	21	67	)	)	PUNCT
cuesj-205	21	68	)	)	PUNCT
cuesj-205	21	69	2	2	NUM
cuesj-205	21	70	,	,	PUNCT
cuesj-205	21	71	and	and	CCONJ
cuesj-205	21	72	so	so	ADV
cuesj-205	21	73	on	on	ADV
cuesj-205	21	74	we	we	PRON
cuesj-205	21	75	repeat	repeat	VERB
cuesj-205	21	76	this	this	DET
cuesj-205	21	77	process	process	NOUN
cuesj-205	21	78	n	n	CCONJ
cuesj-205	21	79	-	-	PUNCT
cuesj-205	21	80	time	time	NOUN
cuesj-205	21	81	to	to	PART
cuesj-205	21	82	obtain	obtain	VERB
cuesj-205	21	83	u	u	PRON
cuesj-205	21	84	a	a	DET
cuesj-205	21	85	u	u	NOUN
cuesj-205	21	86	a	a	DET
cuesj-205	21	87	nk	nk	PROPN
cuesj-205	21	88	a	a	DET
cuesj-205	21	89	a	a	DET
cuesj-205	21	90	u	u	NOUN
cuesj-205	21	91	an	an	DET
cuesj-205	21	92	n	n	ADJ
cuesj-205	21	93	n	n	CCONJ
cuesj-205	21	94	(	(	PUNCT
cuesj-205	21	95	)	)	PUNCT
cuesj-205	21	96	(	(	PUNCT
cuesj-205	21	97	)	)	PUNCT
cuesj-205	21	98	(	(	PUNCT
cuesj-205	21	99	)	)	PUNCT
cuesj-205	21	100	(	(	PUNCT
cuesj-205	21	101	)	)	PUNCT
cuesj-205	21	102	(	(	PUNCT
cuesj-205	21	103	)	)	PUNCT
cuesj-205	21	104	(	(	PUNCT
cuesj-205	21	105	,	,	PUNCT
cuesj-205	21	106	,	,	PUNCT
cuesj-205	21	107	(	(	PUNCT
cuesj-205	21	108	)	)	PUNCT
cuesj-205	21	109	)	)	PUNCT
cuesj-205	21	110	�	�	PROPN
cuesj-205	21	111	�	�	PROPN
cuesj-205	21	112	�	�	PROPN
cuesj-205	21	113	1	1	NUM
cuesj-205	21	114	,	,	PUNCT
cuesj-205	21	115	n=1	n=1	PROPN
cuesj-205	21	116	,	,	PUNCT
cuesj-205	21	117	2	2	NUM
cuesj-205	21	118	,	,	PUNCT
cuesj-205	21	119	…	…	PUNCT
cuesj-205	21	120	.	.	PUNCT
cuesj-205	22	1	(	(	PUNCT
cuesj-205	22	2	5	5	X
cuesj-205	22	3	)	)	PUNCT
cuesj-205	22	4	putting	put	VERB
cuesj-205	22	5	the	the	DET
cuesj-205	22	6	values	value	NOUN
cuesj-205	22	7	of	of	ADP
cuesj-205	22	8	equation	equation	NOUN
cuesj-205	22	9	(	(	PUNCT
cuesj-205	22	10	5	5	NUM
cuesj-205	22	11	)	)	PUNCT
cuesj-205	22	12	for	for	ADP
cuesj-205	22	13	n=1	n=1	PROPN
cuesj-205	22	14	,	,	PUNCT
cuesj-205	22	15	2	2	NUM
cuesj-205	22	16	,	,	PUNCT
cuesj-205	22	17	…	…	PUNCT
cuesj-205	22	18	in	in	ADP
cuesj-205	22	19	the	the	DET
cuesj-205	22	20	taylor	taylor	PROPN
cuesj-205	22	21	series	series	PROPN
cuesj-205	22	22	expansion	expansion	NOUN
cuesj-205	22	23	(	(	PUNCT
cuesj-205	22	24	2	2	NUM
cuesj-205	22	25	)	)	PUNCT
cuesj-205	22	26	in	in	ADP
cuesj-205	22	27	the	the	DET
cuesj-205	22	28	order	order	NOUN
cuesj-205	22	29	,	,	PUNCT
cuesj-205	22	30	we	we	PRON
cuesj-205	22	31	can	can	AUX
cuesj-205	22	32	obtain	obtain	VERB
cuesj-205	22	33	the	the	DET
cuesj-205	22	34	finite	finite	ADJ
cuesj-205	22	35	and	and	CCONJ
cuesj-205	22	36	approximate	approximate	ADJ
cuesj-205	22	37	series	series	NOUN
cuesj-205	22	38	solution	solution	NOUN
cuesj-205	22	39	of	of	ADP
cuesj-205	22	40	equation	equation	NOUN
cuesj-205	22	41	(	(	PUNCT
cuesj-205	22	42	1	1	NUM
cuesj-205	22	43	)	)	PUNCT
cuesj-205	22	44	.	.	PUNCT
cuesj-205	23	1	numerical	numerical	ADJ
cuesj-205	23	2	examples	example	NOUN
cuesj-205	23	3	example	example	NOUN
cuesj-205	23	4	1	1	NUM
cuesj-205	23	5	consider	consider	VERB
cuesj-205	23	6	the	the	DET
cuesj-205	23	7	problem	problem	NOUN
cuesj-205	23	8	u	u	NOUN
cuesj-205	23	9	x	x	NOUN
cuesj-205	23	10	x	x	X
cuesj-205	23	11	x	x	PUNCT
cuesj-205	23	12	e	e	X
cuesj-205	23	13	e	e	SYM
cuesj-205	23	14	u	u	PROPN
cuesj-205	23	15	t	t	X
cuesj-205	23	16	dtt	dtt	X
cuesj-205	23	17	x	x	PROPN
cuesj-205	23	18	t	t	PROPN
cuesj-205	23	19	t	t	PROPN
cuesj-205	23	20	a	a	DET
cuesj-205	23	21	x	x	X
cuesj-205	23	22	(	(	PUNCT
cuesj-205	23	23	)	)	PUNCT
cuesj-205	23	24	(	(	PUNCT
cuesj-205	23	25	)	)	PUNCT
cuesj-205	23	26	(	(	PUNCT
cuesj-205	23	27	(	(	PUNCT
cuesj-205	23	28	)	)	PUNCT
cuesj-205	23	29	)	)	PUNCT
cuesj-205	23	30	(	(	PUNCT
cuesj-205	23	31	)	)	PUNCT
cuesj-205	23	32	�	�	PROPN
cuesj-205	23	33	�	�	PROPN
cuesj-205	23	34	�	�	PROPN
cuesj-205	23	35	�	�	PROPN
cuesj-205	23	36	�	�	PROPN
cuesj-205	23	37	�	�	PROPN
cuesj-205	23	38	�	�	PROPN
cuesj-205	23	39	1	1	NUM
cuesj-205	23	40	2	2	NUM
cuesj-205	23	41	2	2	NUM
cuesj-205	23	42	22	22	NUM
cuesj-205	23	43	where	where	SCONJ
cuesj-205	23	44	the	the	DET
cuesj-205	23	45	exact	exact	ADJ
cuesj-205	23	46	solution	solution	NOUN
cuesj-205	23	47	is	be	AUX
cuesj-205	23	48	u	u	NOUN
cuesj-205	23	49	x	x	X
cuesj-205	23	50	ex	ex	X
cuesj-205	23	51	(	(	PUNCT
cuesj-205	23	52	)	)	PUNCT
cuesj-205	23	53	.=	.=	NOUN
cuesj-205	23	54	2	2	NUM
cuesj-205	23	55	solution	solution	NOUN
cuesj-205	23	56	:	:	PUNCT
cuesj-205	23	57	by	by	ADP
cuesj-205	23	58	using	use	VERB
cuesj-205	23	59	the	the	DET
cuesj-205	23	60	procedure	procedure	NOUN
cuesj-205	23	61	in	in	ADP
cuesj-205	23	62	section	section	NOUN
cuesj-205	23	63	two	two	NUM
cuesj-205	23	64	,	,	PUNCT
cuesj-205	23	65	where	where	SCONJ
cuesj-205	23	66	a=0	a=0	PROPN
cuesj-205	23	67	,	,	PUNCT
cuesj-205	23	68	we	we	PRON
cuesj-205	23	69	obtained	obtain	VERB
cuesj-205	23	70	u	u	PROPN
cuesj-205	23	71	u	u	NOUN
cuesj-205	23	72	u	u	NOUN
cuesj-205	23	73	(	(	PUNCT
cuesj-205	23	74	)	)	PUNCT
cuesj-205	23	75	,	,	PUNCT
cuesj-205	23	76	(	(	PUNCT
cuesj-205	23	77	)	)	PUNCT
cuesj-205	23	78	,	,	PUNCT
cuesj-205	23	79	(	(	PUNCT
cuesj-205	23	80	)	)	PUNCT
cuesj-205	23	81	,	,	PUNCT
cuesj-205	23	82	(	(	PUNCT
cuesj-205	23	83	)	)	PUNCT
cuesj-205	23	84	(	(	PUNCT
cuesj-205	23	85	)	)	PUNCT
cuesj-205	23	86	0	0	NUM
cuesj-205	24	1	1	1	NUM
cuesj-205	24	2	0	0	NUM
cuesj-205	24	3	2	2	NUM
cuesj-205	24	4	0	0	NUM
cuesj-205	24	5	122	122	NUM
cuesj-205	24	6	4=	4=	NUM
cuesj-205	24	7	=	=	PUNCT
cuesj-205	24	8	=	=	PUNCT
cuesj-205	24	9	u	u	NOUN
cuesj-205	24	10	u	u	NOUN
cuesj-205	24	11	(	(	PUNCT
cuesj-205	24	12	)	)	PUNCT
cuesj-205	24	13	(	(	PUNCT
cuesj-205	24	14	)	)	PUNCT
cuesj-205	24	15	(	(	PUNCT
cuesj-205	24	16	)	)	PUNCT
cuesj-205	24	17	,	,	PUNCT
cuesj-205	24	18	(	(	PUNCT
cuesj-205	24	19	)	)	PUNCT
cuesj-205	24	20	,	,	PUNCT
cuesj-205	24	21	6	6	NUM
cuesj-205	24	22	80	80	NUM
cuesj-205	24	23	120	120	NUM
cuesj-205	24	24	0	0	NUM
cuesj-205	24	25	1680=	1680=	NUM
cuesj-205	24	26	=	=	SYM
cuesj-205	24	27			NOUN
cuesj-205	24	28	and	and	CCONJ
cuesj-205	24	29	u	u	NOUN
cuesj-205	24	30	u	u	PROPN
cuesj-205	24	31	u	u	X
cuesj-205	24	32	u	u	NOUN
cuesj-205	24	33	(	(	PUNCT
cuesj-205	24	34	)	)	PUNCT
cuesj-205	24	35	(	(	PUNCT
cuesj-205	24	36	)	)	PUNCT
cuesj-205	24	37	(	(	PUNCT
cuesj-205	24	38	)	)	PUNCT
cuesj-205	24	39	(	(	PUNCT
cuesj-205	24	40	)	)	PUNCT
cuesj-205	24	41	(	(	PUNCT
cuesj-205	24	42	)	)	PUNCT
cuesj-205	24	43	(	(	PUNCT
cuesj-205	24	44	)	)	PUNCT
cuesj-205	24	45	(	(	PUNCT
cuesj-205	24	46	)	)	PUNCT
cuesj-205	24	47	(	(	PUNCT
cuesj-205	24	48	)	)	PUNCT
cuesj-205	24	49	...	...	PUNCT
cuesj-205	24	50	1	1	NUM
cuesj-205	24	51	3	3	NUM
cuesj-205	24	52	5	5	NUM
cuesj-205	24	53	70	70	NUM
cuesj-205	24	54	0	0	NUM
cuesj-205	24	55	0	0	NUM
cuesj-205	24	56	0	0	NUM
cuesj-205	24	57	0=	0=	PUNCT
cuesj-205	25	1	=	=	PUNCT
cuesj-205	25	2	=	=	PUNCT
cuesj-205	25	3	=	=	PUNCT
cuesj-205	25	4	=	=	PUNCT
cuesj-205	25	5	.	.	PUNCT
cuesj-205	26	1	using	use	VERB
cuesj-205	26	2	all	all	DET
cuesj-205	26	3	these	these	DET
cuesj-205	26	4	values	value	NOUN
cuesj-205	26	5	in	in	ADP
cuesj-205	26	6	the	the	DET
cuesj-205	26	7	taylor	taylor	PROPN
cuesj-205	26	8	series	series	PROPN
cuesj-205	26	9	expansion	expansion	NOUN
cuesj-205	26	10	(	(	PUNCT
cuesj-205	26	11	2	2	NUM
cuesj-205	26	12	)	)	PUNCT
cuesj-205	26	13	,	,	PUNCT
cuesj-205	26	14	we	we	PRON
cuesj-205	26	15	arrive	arrive	VERB
cuesj-205	26	16	u	u	NOUN
cuesj-205	26	17	x	x	NOUN
cuesj-205	26	18	x	x	PUNCT
cuesj-205	26	19	x	x	PUNCT
cuesj-205	26	20	x	x	PUNCT
cuesj-205	26	21	x	x	SYM
cuesj-205	26	22	x	x	SYM
cuesj-205	26	23	n	n	CCONJ
cuesj-205	26	24	n	n	CCONJ
cuesj-205	26	25	(	(	PUNCT
cuesj-205	26	26	)	)	PUNCT
cuesj-205	26	27	�	�	PROPN
cuesj-205	26	28	�	�	PROPN
cuesj-205	26	29	�	�	PROPN
cuesj-205	26	30	�	�	PROPN
cuesj-205	26	31	�	�	PROPN
cuesj-205	26	32	�	�	PROPN
cuesj-205	26	33	�	�	PROPN
cuesj-205	26	34	�	�	PROPN
cuesj-205	26	35	�	�	PROPN
cuesj-205	26	36	�	�	PROPN
cuesj-205	26	37	�	�	PROPN
cuesj-205	26	38	�	�	PROPN
cuesj-205	26	39	�	�	PROPN
cuesj-205	26	40	�	�	PROPN
cuesj-205	26	41	�	�	PROPN
cuesj-205	26	42	1	1	NUM
cuesj-205	26	43	2	2	NUM
cuesj-205	26	44	6	6	NUM
cuesj-205	26	45	24	24	NUM
cuesj-205	26	46	2	2	NUM
cuesj-205	26	47	2	2	NUM
cuesj-205	26	48	2	2	NUM
cuesj-205	26	49	2	2	NUM
cuesj-205	26	50	3	3	NUM
cuesj-205	26	51	2	2	NUM
cuesj-205	26	52	4	4	NUM
cuesj-205	26	53	2	2	NUM
cuesj-205	26	54			NOUN
cuesj-205	26	55	this	this	DET
cuesj-205	26	56	equation	equation	NOUN
cuesj-205	26	57	is	be	AUX
cuesj-205	26	58	the	the	DET
cuesj-205	26	59	nth	nth	ADJ
cuesj-205	26	60	partial	partial	ADJ
cuesj-205	26	61	sum	sum	NOUN
cuesj-205	26	62	of	of	ADP
cuesj-205	26	63	the	the	DET
cuesj-205	26	64	maclaurin	maclaurin	NOUN
cuesj-205	26	65	series	series	NOUN
cuesj-205	26	66	of	of	ADP
cuesj-205	26	67	ex	ex	X
cuesj-205	26	68	2	2	NUM
cuesj-205	26	69	.	.	PUNCT
cuesj-205	26	70	example	example	NOUN
cuesj-205	27	1	2	2	NUM
cuesj-205	27	2	consider	consider	VERB
cuesj-205	27	3	the	the	DET
cuesj-205	27	4	non	non	ADJ
cuesj-205	27	5	-	-	ADJ
cuesj-205	27	6	linear	linear	ADJ
cuesj-205	27	7	vie	vie	X
cuesj-205	27	8	u	u	NOUN
cuesj-205	27	9	x	x	PROPN
cuesj-205	27	10	u	u	NOUN
cuesj-205	27	11	t	t	NOUN
cuesj-205	27	12	t	t	NOUN
cuesj-205	27	13	dt	dt	X
cuesj-205	27	14	x	x	X
cuesj-205	27	15	(	(	PUNCT
cuesj-205	27	16	)	)	PUNCT
cuesj-205	27	17	(	(	PUNCT
cuesj-205	27	18	)	)	PUNCT
cuesj-205	27	19	�	�	PROPN
cuesj-205	27	20	�	�	PROPN
cuesj-205	27	21	�	�	PROPN
cuesj-205	27	22	�	�	PROPN
cuesj-205	27	23	1	1	NUM
cuesj-205	27	24	10	10	NUM
cuesj-205	27	25	where	where	SCONJ
cuesj-205	27	26	the	the	DET
cuesj-205	27	27	actual	actual	ADJ
cuesj-205	27	28	solution	solution	NOUN
cuesj-205	27	29	is	be	AUX
cuesj-205	27	30	u(x)=x	u(x)=x	ADJ
cuesj-205	27	31	and	and	CCONJ
cuesj-205	27	32	v(x)=0	v(x)=0	ADJ
cuesj-205	27	33	.	.	PUNCT
cuesj-205	28	1	solution	solution	NOUN
cuesj-205	28	2	:	:	PUNCT
cuesj-205	28	3	from	from	ADP
cuesj-205	28	4	equation	equation	NOUN
cuesj-205	28	5	(	(	PUNCT
cuesj-205	28	6	5	5	NUM
cuesj-205	28	7	)	)	PUNCT
cuesj-205	28	8	,	,	PUNCT
cuesj-205	28	9	when	when	SCONJ
cuesj-205	28	10	x=0	x=0	PROPN
cuesj-205	28	11	we	we	PRON
cuesj-205	28	12	obtain	obtain	VERB
cuesj-205	28	13	u	u	PRON
cuesj-205	28	14	u	u	NOUN
cuesj-205	28	15	u	u	NOUN
cuesj-205	28	16	u	u	NOUN
cuesj-205	28	17	u	u	NOUN
cuesj-205	28	18	n	n	X
cuesj-205	28	19	(	(	PUNCT
cuesj-205	28	20	)	)	PUNCT
cuesj-205	28	21	,	,	PUNCT
cuesj-205	28	22	(	(	PUNCT
cuesj-205	28	23	)	)	PUNCT
cuesj-205	28	24	,	,	PUNCT
cuesj-205	28	25	(	(	PUNCT
cuesj-205	28	26	)	)	PUNCT
cuesj-205	28	27	,	,	PUNCT
cuesj-205	28	28	(	(	PUNCT
cuesj-205	28	29	)	)	PUNCT
cuesj-205	28	30	,	,	PUNCT
cuesj-205	28	31	.....	.....	PUNCT
cuesj-205	28	32	(	(	PUNCT
cuesj-205	28	33	)	)	PUNCT
cuesj-205	28	34	(	(	PUNCT
cuesj-205	28	35	)	)	PUNCT
cuesj-205	28	36	(	(	PUNCT
cuesj-205	28	37	)	)	PUNCT
cuesj-205	28	38	(	(	PUNCT
cuesj-205	28	39	)	)	PUNCT
cuesj-205	28	40	0	0	NUM
cuesj-205	28	41	0	0	NUM
cuesj-205	28	42	0	0	NUM
cuesj-205	29	1	1	1	NUM
cuesj-205	29	2	0	0	NUM
cuesj-205	29	3	0	0	NUM
cuesj-205	29	4	0	0	NUM
cuesj-205	29	5	0	0	NUM
cuesj-205	29	6	0	0	NUM
cuesj-205	29	7	02	02	NUM
cuesj-205	29	8	3	3	NUM
cuesj-205	29	9	�	�	PROPN
cuesj-205	29	10	�	�	PROPN
cuesj-205	29	11	�	�	PROPN
cuesj-205	29	12	�	�	PROPN
cuesj-205	29	13	�	�	PROPN
cuesj-205	29	14	�	�	PROPN
cuesj-205	29	15	using	use	VERB
cuesj-205	29	16	all	all	DET
cuesj-205	29	17	these	these	DET
cuesj-205	29	18	obtained	obtain	VERB
cuesj-205	29	19	values	value	NOUN
cuesj-205	29	20	in	in	ADP
cuesj-205	29	21	the	the	DET
cuesj-205	29	22	taylor	taylor	PROPN
cuesj-205	29	23	series	series	PROPN
cuesj-205	29	24	expansion	expansion	NOUN
cuesj-205	29	25	in	in	ADP
cuesj-205	29	26	(	(	PUNCT
cuesj-205	29	27	2	2	NUM
cuesj-205	29	28	)	)	PUNCT
cuesj-205	29	29	to	to	PART
cuesj-205	29	30	arrive	arrive	VERB
cuesj-205	29	31	,	,	PUNCT
cuesj-205	29	32	the	the	DET
cuesj-205	29	33	exact	exact	ADJ
cuesj-205	29	34	solution	solution	NOUN
cuesj-205	29	35	u(x)=x	u(x)=x	ADJ
cuesj-205	29	36	.	.	PUNCT
cuesj-205	30	1	this	this	DET
cuesj-205	30	2	approach	approach	NOUN
cuesj-205	30	3	also	also	ADV
cuesj-205	30	4	can	can	AUX
cuesj-205	30	5	be	be	AUX
cuesj-205	30	6	exploited	exploit	VERB
cuesj-205	30	7	for	for	ADP
cuesj-205	30	8	solving	solve	VERB
cuesj-205	30	9	system	system	NOUN
cuesj-205	30	10	of	of	ADP
cuesj-205	30	11	non	non	ADJ
cuesj-205	30	12	-	-	ADJ
cuesj-205	30	13	linear	linear	ADJ
cuesj-205	30	14	vie	vie	NOUN
cuesj-205	30	15	by	by	ADP
cuesj-205	30	16	using	use	VERB
cuesj-205	30	17	lebibntz	lebibntz	PRON
cuesj-205	30	18	generalized	generalize	VERB
cuesj-205	30	19	formula[15	formula[15	NOUN
cuesj-205	30	20	]	]	X
cuesj-205	30	21	which	which	PRON
cuesj-205	30	22	state	state	VERB
cuesj-205	30	23	that	that	SCONJ
cuesj-205	30	24	:	:	PUNCT
cuesj-205	30	25	d	d	X
cuesj-205	30	26	dx	dx	PROPN
cuesj-205	30	27	k	k	NOUN
cuesj-205	30	28	x	x	PROPN
cuesj-205	30	29	t	t	X
cuesj-205	30	30	u	u	NOUN
cuesj-205	30	31	t	t	NOUN
cuesj-205	30	32	dt	dt	NOUN
cuesj-205	30	33	x	x	X
cuesj-205	30	34	k	k	NOUN
cuesj-205	30	35	x	x	SYM
cuesj-205	30	36	t	t	NOUN
cuesj-205	30	37	u	u	NOUN
cuesj-205	31	1	t	t	X
cuesj-205	31	2	dt	dt	X
cuesj-205	32	1	k	k	PROPN
cuesj-205	32	2	x	x	PROPN
cuesj-205	32	3	b	b	X
cuesj-205	32	4	a	a	PRON
cuesj-205	32	5	x	x	X
cuesj-205	32	6	b	b	PROPN
cuesj-205	32	7	x	x	SYM
cuesj-205	32	8	a	a	DET
cuesj-205	32	9	x	x	X
cuesj-205	32	10	b	b	NOUN
cuesj-205	32	11	x	x	X
cuesj-205	32	12	(	(	PUNCT
cuesj-205	32	13	,	,	PUNCT
cuesj-205	32	14	,	,	PUNCT
cuesj-205	32	15	(	(	PUNCT
cuesj-205	32	16	)	)	PUNCT
cuesj-205	32	17	)	)	PUNCT
cuesj-205	32	18	(	(	PUNCT
cuesj-205	32	19	,	,	PUNCT
cuesj-205	32	20	,	,	PUNCT
cuesj-205	32	21	(	(	PUNCT
cuesj-205	32	22	)	)	PUNCT
cuesj-205	32	23	)	)	PUNCT
cuesj-205	32	24	(	(	PUNCT
cuesj-205	32	25	,	,	PUNCT
cuesj-205	32	26	(	(	PUNCT
cuesj-205	32	27	(	(	PUNCT
cuesj-205	32	28	)	)	PUNCT
cuesj-205	32	29	(	(	PUNCT
cuesj-205	32	30	)	)	PUNCT
cuesj-205	32	31	(	(	PUNCT
cuesj-205	32	32	)	)	PUNCT
cuesj-205	32	33	(	(	PUNCT
cuesj-205	32	34	)	)	PUNCT
cuesj-205	32	35	�	�	PROPN
cuesj-205	32	36	�	�	PROPN
cuesj-205	32	37	�	�	PROPN
cuesj-205	32	38	�	�	PROPN
cuesj-205	32	39	�	�	PROPN
cuesj-205	32	40	�	�	PROPN
cuesj-205	32	41	xx	xx	NUM
cuesj-205	33	1	u	u	PROPN
cuesj-205	33	2	b	b	PROPN
cuesj-205	33	3	x	x	INTJ
cuesj-205	33	4	db	db	PROPN
cuesj-205	33	5	x	x	X
cuesj-205	33	6	dx	dx	PROPN
cuesj-205	33	7	k	k	PROPN
cuesj-205	33	8	x	x	PROPN
cuesj-205	33	9	a	a	X
cuesj-205	33	10	x	x	X
cuesj-205	33	11	f	f	X
cuesj-205	33	12	a	a	X
cuesj-205	33	13	x	x	X
cuesj-205	33	14	da	da	X
cuesj-205	33	15	x	x	X
cuesj-205	33	16	dx	dx	PROPN
cuesj-205	33	17	)	)	PUNCT
cuesj-205	33	18	,	,	PUNCT
cuesj-205	33	19	(	(	PUNCT
cuesj-205	33	20	(	(	PUNCT
cuesj-205	33	21	)	)	PUNCT
cuesj-205	33	22	)	)	PUNCT
cuesj-205	33	23	)	)	PUNCT
cuesj-205	33	24	(	(	PUNCT
cuesj-205	33	25	)	)	PUNCT
cuesj-205	33	26	(	(	PUNCT
cuesj-205	33	27	,	,	PUNCT
cuesj-205	33	28	(	(	PUNCT
cuesj-205	33	29	)	)	PUNCT
cuesj-205	33	30	,	,	PUNCT
cuesj-205	33	31	(	(	PUNCT
cuesj-205	33	32	(	(	PUNCT
cuesj-205	33	33	)	)	PUNCT
cuesj-205	33	34	)	)	PUNCT
cuesj-205	33	35	)	)	PUNCT
cuesj-205	33	36	(	(	PUNCT
cuesj-205	33	37	)	)	PUNCT
cuesj-205	33	38	�	�	PROPN
cuesj-205	33	39	(	(	PUNCT
cuesj-205	33	40	6	6	NUM
cuesj-205	33	41	)	)	PUNCT
cuesj-205	33	42	in	in	ADP
cuesj-205	33	43	this	this	DET
cuesj-205	33	44	investigation	investigation	NOUN
cuesj-205	33	45	a(x)=a	a(x)=a	PROPN
cuesj-205	33	46	is	be	AUX
cuesj-205	33	47	constant	constant	ADJ
cuesj-205	33	48	and	and	CCONJ
cuesj-205	33	49	b(x)=x	b(x)=x	NOUN
cuesj-205	33	50	,	,	PUNCT
cuesj-205	33	51	therefore	therefore	ADV
cuesj-205	33	52	(	(	PUNCT
cuesj-205	33	53	6	6	NUM
cuesj-205	33	54	)	)	PUNCT
cuesj-205	33	55	reduce	reduce	VERB
cuesj-205	33	56	to	to	ADP
cuesj-205	33	57	d	d	PROPN
cuesj-205	33	58	dx	dx	PROPN
cuesj-205	34	1	k	k	PROPN
cuesj-205	34	2	x	x	PROPN
cuesj-205	34	3	t	t	X
cuesj-205	34	4	u	u	NOUN
cuesj-205	34	5	t	t	NOUN
cuesj-205	34	6	dt	dt	NOUN
cuesj-205	34	7	x	x	X
cuesj-205	34	8	k	k	NOUN
cuesj-205	34	9	x	x	SYM
cuesj-205	34	10	t	t	NOUN
cuesj-205	34	11	u	u	NOUN
cuesj-205	34	12	t	t	X
cuesj-205	34	13	dt	dt	X
cuesj-205	35	1	k	k	NOUN
cuesj-205	35	2	x	x	PUNCT
cuesj-205	35	3	x	x	PUNCT
cuesj-205	35	4	a	a	PRON
cuesj-205	35	5	x	x	X
cuesj-205	35	6	b	b	PROPN
cuesj-205	35	7	x	x	SYM
cuesj-205	35	8	b	b	PROPN
cuesj-205	35	9	x	x	SYM
cuesj-205	35	10	a	a	X
cuesj-205	35	11	x	x	X
cuesj-205	35	12	(	(	PUNCT
cuesj-205	35	13	,	,	PUNCT
cuesj-205	35	14	,	,	PUNCT
cuesj-205	35	15	(	(	PUNCT
cuesj-205	35	16	)	)	PUNCT
cuesj-205	35	17	)	)	PUNCT
cuesj-205	36	1	(	(	PUNCT
cuesj-205	36	2	,	,	PUNCT
cuesj-205	36	3	,	,	PUNCT
cuesj-205	36	4	(	(	PUNCT
cuesj-205	36	5	)	)	PUNCT
cuesj-205	36	6	)	)	PUNCT
cuesj-205	37	1	(	(	PUNCT
cuesj-205	37	2	,	,	PUNCT
cuesj-205	37	3	,	,	PUNCT
cuesj-205	37	4	(	(	PUNCT
cuesj-205	37	5	)	)	PUNCT
cuesj-205	37	6	(	(	PUNCT
cuesj-205	37	7	)	)	PUNCT
cuesj-205	37	8	(	(	PUNCT
cuesj-205	37	9	)	)	PUNCT
cuesj-205	37	10	(	(	PUNCT
cuesj-205	37	11	)	)	PUNCT
cuesj-205	37	12	�	�	PROPN
cuesj-205	37	13	�	�	PROPN
cuesj-205	37	14	�	�	PROPN
cuesj-205	37	15	�	�	PROPN
cuesj-205	37	16	�	�	PROPN
cuesj-205	37	17	�	�	PROPN
cuesj-205	37	18	uu	uu	PROPN
cuesj-205	37	19	x	x	X
cuesj-205	37	20	(	(	PUNCT
cuesj-205	37	21	)	)	PUNCT
cuesj-205	37	22	)	)	PUNCT
cuesj-205	37	23	(	(	PUNCT
cuesj-205	37	24	7	7	X
cuesj-205	37	25	)	)	PUNCT
cuesj-205	37	26	we	we	PRON
cuesj-205	37	27	can	can	AUX
cuesj-205	37	28	use	use	VERB
cuesj-205	37	29	this	this	DET
cuesj-205	37	30	principle	principle	NOUN
cuesj-205	37	31	to	to	PART
cuesj-205	37	32	convert	convert	VERB
cuesj-205	37	33	initial	initial	ADJ
cuesj-205	37	34	or	or	CCONJ
cuesj-205	37	35	boundary	boundary	ADJ
cuesj-205	37	36	value	value	NOUN
cuesj-205	37	37	problem	problem	NOUN
cuesj-205	37	38	into	into	ADP
cuesj-205	37	39	an	an	DET
cuesj-205	37	40	integral	integral	ADJ
cuesj-205	37	41	equation	equation	NOUN
cuesj-205	37	42	.	.	PUNCT
cuesj-205	38	1	for	for	ADP
cuesj-205	38	2	instance	instance	NOUN
cuesj-205	38	3	,	,	PUNCT
cuesj-205	38	4	suppose	suppose	VERB
cuesj-205	38	5	we	we	PRON
cuesj-205	38	6	the	the	DET
cuesj-205	38	7	following	follow	VERB
cuesj-205	38	8	initial	initial	ADJ
cuesj-205	38	9	value	value	NOUN
cuesj-205	38	10	problem	problem	NOUN
cuesj-205	38	11	�	�	PROPN
cuesj-205	38	12	�	�	PROPN
cuesj-205	38	13	�	�	PROPN
cuesj-205	38	14	�	�	PROPN
cuesj-205	38	15	u	u	NOUN
cuesj-205	38	16	x	x	X
cuesj-205	38	17	k	k	X
cuesj-205	38	18	x	x	PUNCT
cuesj-205	38	19	u	u	NOUN
cuesj-205	38	20	x	x	X
cuesj-205	38	21	u	u	NOUN
cuesj-205	38	22	x	x	NOUN
cuesj-205	38	23	(	(	PUNCT
cuesj-205	38	24	)	)	PUNCT
cuesj-205	38	25	(	(	PUNCT
cuesj-205	38	26	,	,	PUNCT
cuesj-205	38	27	(	(	PUNCT
cuesj-205	38	28	)	)	PUNCT
cuesj-205	38	29	,	,	PUNCT
cuesj-205	38	30	(	(	PUNCT
cuesj-205	38	31	)	)	PUNCT
cuesj-205	38	32	)	)	PUNCT
cuesj-205	39	1	(	(	PUNCT
cuesj-205	39	2	8)	8)	NUM
cuesj-205	39	3	with	with	ADP
cuesj-205	39	4	u(a)=u0	u(a)=u0	PROPN
cuesj-205	39	5	and	and	CCONJ
cuesj-205	39	6	u’(a)=u1	u’(a)=u1	PROPN
cuesj-205	39	7	are	be	AUX
cuesj-205	39	8	given	give	VERB
cuesj-205	39	9	.	.	PUNCT
cuesj-205	40	1	take	take	VERB
cuesj-205	40	2	integral	integral	ADJ
cuesj-205	40	3	for	for	ADP
cuesj-205	40	4	both	both	DET
cuesj-205	40	5	side	side	NOUN
cuesj-205	40	6	of	of	ADP
cuesj-205	40	7	(	(	PUNCT
cuesj-205	40	8	8)	8)	NUM
cuesj-205	40	9	,	,	PUNCT
cuesj-205	40	10	we	we	PRON
cuesj-205	40	11	get	get	VERB
cuesj-205	40	12	�	�	PROPN
cuesj-205	40	13	�	�	PROPN
cuesj-205	40	14	�	�	PROPN
cuesj-205	40	15	�	�	PROPN
cuesj-205	40	16	�	�	PROPN
cuesj-205	40	17	�	�	PROPN
cuesj-205	40	18	�	�	PROPN
cuesj-205	40	19	�	�	PROPN
cuesj-205	40	20	�	�	PROPN
cuesj-205	40	21	�	�	PROPN
cuesj-205	40	22	u	u	PROPN
cuesj-205	40	23	t	t	X
cuesj-205	40	24	dt	dt	X
cuesj-205	41	1	k	k	PROPN
cuesj-205	41	2	t	t	PROPN
cuesj-205	41	3	u	u	NOUN
cuesj-205	41	4	t	t	PROPN
cuesj-205	41	5	u	u	NOUN
cuesj-205	41	6	t	t	X
cuesj-205	41	7	dt	dt	X
cuesj-205	41	8	t	t	PROPN
cuesj-205	41	9	a	a	DET
cuesj-205	41	10	t	t	NOUN
cuesj-205	41	11	x	x	SYM
cuesj-205	41	12	t	t	PROPN
cuesj-205	41	13	a	a	DET
cuesj-205	41	14	t	t	NOUN
cuesj-205	41	15	x	x	SYM
cuesj-205	41	16	(	(	PUNCT
cuesj-205	41	17	)	)	PUNCT
cuesj-205	41	18	(	(	PUNCT
cuesj-205	41	19	,	,	PUNCT
cuesj-205	41	20	(	(	PUNCT
cuesj-205	41	21	)	)	PUNCT
cuesj-205	41	22	,	,	PUNCT
cuesj-205	41	23	(	(	PUNCT
cuesj-205	41	24	)	)	PUNCT
cuesj-205	41	25	)	)	PUNCT
cuesj-205	41	26	(	(	PUNCT
cuesj-205	41	27	9	9	X
cuesj-205	41	28	)	)	PUNCT
cuesj-205	41	29	use	use	NOUN
cuesj-205	41	30	principle	principle	NOUN
cuesj-205	41	31	of	of	ADP
cuesj-205	41	32	(	(	PUNCT
cuesj-205	41	33	7	7	NUM
cuesj-205	41	34	)	)	PUNCT
cuesj-205	41	35	for	for	ADP
cuesj-205	41	36	both	both	DET
cuesj-205	41	37	side	side	NOUN
cuesj-205	41	38	of	of	ADP
cuesj-205	41	39	(	(	PUNCT
cuesj-205	41	40	9	9	NUM
cuesj-205	41	41	)	)	PUNCT
cuesj-205	41	42	,	,	PUNCT
cuesj-205	41	43	we	we	PRON
cuesj-205	41	44	obtain	obtain	VERB
cuesj-205	41	45	�	�	PROPN
cuesj-205	41	46	�	�	PROPN
cuesj-205	41	47	�	�	PROPN
cuesj-205	41	48	�	�	PROPN
cuesj-205	41	49	�	�	PROPN
cuesj-205	41	50	�	�	PROPN
cuesj-205	41	51	�	�	PROPN
cuesj-205	41	52	u	u	NOUN
cuesj-205	41	53	x	x	SYM
cuesj-205	41	54	u	u	X
cuesj-205	41	55	k	k	PROPN
cuesj-205	41	56	t	t	PROPN
cuesj-205	41	57	u	u	NOUN
cuesj-205	41	58	t	t	PROPN
cuesj-205	41	59	u	u	NOUN
cuesj-205	41	60	t	t	X
cuesj-205	41	61	dt	dt	X
cuesj-205	41	62	t	t	PROPN
cuesj-205	41	63	a	a	DET
cuesj-205	41	64	t	t	NOUN
cuesj-205	41	65	x	x	SYM
cuesj-205	41	66	(	(	PUNCT
cuesj-205	41	67	)	)	PUNCT
cuesj-205	41	68	(	(	PUNCT
cuesj-205	41	69	,	,	PUNCT
cuesj-205	41	70	(	(	PUNCT
cuesj-205	41	71	)	)	PUNCT
cuesj-205	41	72	,	,	PUNCT
cuesj-205	41	73	(	(	PUNCT
cuesj-205	41	74	)	)	PUNCT
cuesj-205	41	75	)	)	PUNCT
cuesj-205	41	76	1	1	NUM
cuesj-205	41	77	(	(	PUNCT
cuesj-205	41	78	10	10	NUM
cuesj-205	41	79	)	)	PUNCT
cuesj-205	41	80	take	take	VERB
cuesj-205	41	81	integral	integral	ADJ
cuesj-205	41	82	again	again	ADV
cuesj-205	41	83	for	for	ADP
cuesj-205	41	84	both	both	DET
cuesj-205	41	85	side	side	NOUN
cuesj-205	41	86	of	of	ADP
cuesj-205	41	87	(	(	PUNCT
cuesj-205	41	88	10	10	NUM
cuesj-205	41	89	)	)	PUNCT
cuesj-205	41	90	,	,	PUNCT
cuesj-205	41	91	we	we	PRON
cuesj-205	41	92	can	can	AUX
cuesj-205	41	93	rewrite	rewrite	VERB
cuesj-205	41	94	(	(	PUNCT
cuesj-205	41	95	10	10	NUM
cuesj-205	41	96	)	)	PUNCT
cuesj-205	41	97	as	as	ADP
cuesj-205	41	98	,	,	PUNCT
cuesj-205	41	99	�	�	PROPN
cuesj-205	41	100	�	�	PROPN
cuesj-205	41	101	�	�	PROPN
cuesj-205	41	102	�	�	PROPN
cuesj-205	41	103	�	�	PROPN
cuesj-205	41	104	�	�	PROPN
cuesj-205	41	105	�	�	PROPN
cuesj-205	41	106	�	�	PROPN
cuesj-205	41	107	�	�	PROPN
cuesj-205	41	108	u	u	PROPN
cuesj-205	41	109	t	t	X
cuesj-205	41	110	u	u	X
cuesj-205	41	111	dt	dt	X
cuesj-205	41	112	k	k	PROPN
cuesj-205	41	113	z	z	PROPN
cuesj-205	41	114	u	u	PROPN
cuesj-205	41	115	z	z	PROPN
cuesj-205	41	116	u	u	NOUN
cuesj-205	41	117	z	z	PROPN
cuesj-205	41	118	dzdx	dzdx	VERB
cuesj-205	41	119	a	a	DET
cuesj-205	41	120	x	x	SYM
cuesj-205	41	121	a	a	DET
cuesj-205	41	122	z	z	NOUN
cuesj-205	41	123	a	a	X
cuesj-205	41	124	x	x	X
cuesj-205	41	125	(	(	PUNCT
cuesj-205	41	126	)	)	PUNCT
cuesj-205	41	127	(	(	PUNCT
cuesj-205	41	128	,	,	PUNCT
cuesj-205	41	129	(	(	PUNCT
cuesj-205	41	130	)	)	PUNCT
cuesj-205	41	131	,	,	PUNCT
cuesj-205	41	132	(	(	PUNCT
cuesj-205	41	133	)	)	PUNCT
cuesj-205	41	134	)	)	PUNCT
cuesj-205	41	135	1	1	NUM
cuesj-205	41	136	(	(	PUNCT
cuesj-205	41	137	11	11	NUM
cuesj-205	41	138	)	)	PUNCT
cuesj-205	41	139	u	u	NOUN
cuesj-205	41	140	x	x	X
cuesj-205	41	141	u	u	PROPN
cuesj-205	41	142	a	a	DET
cuesj-205	41	143	u	u	NOUN
cuesj-205	41	144	x	x	X
cuesj-205	41	145	a	a	PRON
cuesj-205	41	146	x	x	X
cuesj-205	41	147	a	a	DET
cuesj-205	41	148	k	k	PROPN
cuesj-205	41	149	z	z	PROPN
cuesj-205	41	150	u	u	PROPN
cuesj-205	41	151	z	z	PROPN
cuesj-205	41	152	u	u	NOUN
cuesj-205	41	153	z	z	PROPN
cuesj-205	41	154	dz	dz	NOUN
cuesj-205	41	155	a	a	DET
cuesj-205	41	156	x	x	X
cuesj-205	41	157	(	(	PUNCT
cuesj-205	41	158	)	)	PUNCT
cuesj-205	41	159	(	(	PUNCT
cuesj-205	41	160	)	)	PUNCT
cuesj-205	41	161	(	(	PUNCT
cuesj-205	41	162	)	)	PUNCT
cuesj-205	41	163	(	(	PUNCT
cuesj-205	41	164	)	)	PUNCT
cuesj-205	41	165	(	(	PUNCT
cuesj-205	41	166	,	,	PUNCT
cuesj-205	41	167	(	(	PUNCT
cuesj-205	41	168	)	)	PUNCT
cuesj-205	41	169	,	,	PUNCT
cuesj-205	41	170	(	(	PUNCT
cuesj-205	41	171	)	)	PUNCT
cuesj-205	41	172	)	)	PUNCT
cuesj-205	41	173	�	�	PROPN
cuesj-205	41	174	�	�	PROPN
cuesj-205	41	175	�	�	PROPN
cuesj-205	41	176	�	�	PROPN
cuesj-205	41	177	�	�	PROPN
cuesj-205	41	178	�	�	PROPN
cuesj-205	41	179	�	�	PROPN
cuesj-205	41	180	1	1	NUM
cuesj-205	41	181	nadir	nadir	NOUN
cuesj-205	41	182	:	:	PUNCT
cuesj-205	41	183	solution	solution	NOUN
cuesj-205	41	184	for	for	ADP
cuesj-205	41	185	single	single	ADJ
cuesj-205	41	186	and	and	CCONJ
cuesj-205	41	187	system	system	NOUN
cuesj-205	41	188	of	of	ADP
cuesj-205	41	189	non	non	ADJ
cuesj-205	41	190	-	-	ADJ
cuesj-205	41	191	linear	linear	ADJ
cuesj-205	41	192	volterra	volterra	NOUN
cuesj-205	41	193	integral	integral	ADJ
cuesj-205	41	194	equations	equation	NOUN
cuesj-205	41	195	8	8	NUM
cuesj-205	41	196	http://journals.cihanuniversity.edu.iq/index.php/cuesj	http://journals.cihanuniversity.edu.iq/index.php/cuesj	ADJ
cuesj-205	41	197	cuesj	cuesj	NOUN
cuesj-205	41	198	2020	2020	NUM
cuesj-205	41	199	,	,	PUNCT
cuesj-205	41	200	4	4	NUM
cuesj-205	41	201	(	(	PUNCT
cuesj-205	41	202	2	2	NUM
cuesj-205	41	203	):	):	PUNCT
cuesj-205	41	204	6	6	NUM
cuesj-205	41	205	-	-	SYM
cuesj-205	41	206	8	8	NUM
cuesj-205	41	207	thus	thus	ADV
cuesj-205	41	208	,	,	PUNCT
cuesj-205	41	209	we	we	PRON
cuesj-205	41	210	get	get	VERB
cuesj-205	41	211	,	,	PUNCT
cuesj-205	41	212	u	u	NOUN
cuesj-205	41	213	x	x	X
cuesj-205	41	214	u	u	NOUN
cuesj-205	41	215	a	a	DET
cuesj-205	41	216	u	u	NOUN
cuesj-205	41	217	x	x	X
cuesj-205	41	218	a	a	PRON
cuesj-205	41	219	x	x	X
cuesj-205	41	220	a	a	PRON
cuesj-205	41	221	k	k	PROPN
cuesj-205	41	222	z	z	PROPN
cuesj-205	41	223	u	u	PROPN
cuesj-205	41	224	z	z	PROPN
cuesj-205	41	225	u	u	NOUN
cuesj-205	41	226	z	z	PROPN
cuesj-205	41	227	dz	dz	X
cuesj-205	41	228	v	v	NOUN
cuesj-205	41	229	x	x	PUNCT
cuesj-205	41	230	x	x	X
cuesj-205	41	231	a	a	DET
cuesj-205	41	232	k	k	PROPN
cuesj-205	41	233	t	t	PROPN
cuesj-205	41	234	a	a	X
cuesj-205	41	235	x	x	X
cuesj-205	41	236	(	(	PUNCT
cuesj-205	41	237	)	)	PUNCT
cuesj-205	41	238	(	(	PUNCT
cuesj-205	41	239	)	)	PUNCT
cuesj-205	41	240	(	(	PUNCT
cuesj-205	41	241	)	)	PUNCT
cuesj-205	41	242	(	(	PUNCT
cuesj-205	41	243	)	)	PUNCT
cuesj-205	41	244	(	(	PUNCT
cuesj-205	41	245	,	,	PUNCT
cuesj-205	41	246	(	(	PUNCT
cuesj-205	41	247	)	)	PUNCT
cuesj-205	41	248	,	,	PUNCT
cuesj-205	41	249	(	(	PUNCT
cuesj-205	41	250	)	)	PUNCT
cuesj-205	41	251	)	)	PUNCT
cuesj-205	42	1	(	(	PUNCT
cuesj-205	42	2	)	)	PUNCT
cuesj-205	42	3	(	(	PUNCT
cuesj-205	42	4	)	)	PUNCT
cuesj-205	42	5	(	(	PUNCT
cuesj-205	42	6	,	,	PUNCT
cuesj-205	42	7	�	�	PROPN
cuesj-205	42	8	�	�	PROPN
cuesj-205	42	9	�	�	PROPN
cuesj-205	42	10	�	�	PROPN
cuesj-205	42	11	�	�	PROPN
cuesj-205	42	12	�	�	PROPN
cuesj-205	42	13	�	�	PROPN
cuesj-205	42	14	�	�	PROPN
cuesj-205	42	15	�	�	PROPN
cuesj-205	42	16	�	�	PROPN
cuesj-205	42	17	1	1	NUM
cuesj-205	42	18	uu	uu	ADP
cuesj-205	42	19	t	t	PROPN
cuesj-205	42	20	u	u	NOUN
cuesj-205	42	21	t	t	X
cuesj-205	42	22	dt	dt	X
cuesj-205	42	23	a	a	X
cuesj-205	42	24	x	x	X
cuesj-205	42	25	(	(	PUNCT
cuesj-205	42	26	)	)	PUNCT
cuesj-205	42	27	,	,	PUNCT
cuesj-205	42	28	(	(	PUNCT
cuesj-205	42	29	)	)	PUNCT
cuesj-205	42	30	)	)	PUNCT
cuesj-205	42	31	�	�	PROPN
cuesj-205	42	32	�	�	PROPN
cuesj-205	42	33	which	which	PRON
cuesj-205	42	34	is	be	AUX
cuesj-205	42	35	non	non	ADJ
cuesj-205	42	36	-	-	ADJ
cuesj-205	42	37	linear	linear	ADJ
cuesj-205	42	38	of	of	ADP
cuesj-205	42	39	the	the	DET
cuesj-205	42	40	second	second	ADJ
cuesj-205	42	41	kind	kind	NOUN
cuesj-205	42	42	and	and	CCONJ
cuesj-205	42	43	v(x)=	v(x)=	ADV
cuesj-205	42	44	v(a)+	v(a)+	VERB
cuesj-205	42	45	u1(x−a	u1(x−a	PROPN
cuesj-205	42	46	)	)	PUNCT
cuesj-205	42	47	.	.	PUNCT
cuesj-205	43	1	in	in	ADP
cuesj-205	43	2	addition	addition	NOUN
cuesj-205	43	3	,	,	PUNCT
cuesj-205	43	4	equation	equation	NOUN
cuesj-205	43	5	(	(	PUNCT
cuesj-205	43	6	7	7	X
cuesj-205	43	7	)	)	PUNCT
cuesj-205	43	8	can	can	AUX
cuesj-205	43	9	be	be	AUX
cuesj-205	43	10	used	use	VERB
cuesj-205	43	11	for	for	ADP
cuesj-205	43	12	each	each	DET
cuesj-205	43	13	equation	equation	NOUN
cuesj-205	43	14	in	in	ADP
cuesj-205	43	15	the	the	DET
cuesj-205	43	16	system	system	NOUN
cuesj-205	43	17	of	of	ADP
cuesj-205	43	18	non	non	ADJ
cuesj-205	43	19	-	-	ADJ
cuesj-205	43	20	linear	linear	ADJ
cuesj-205	43	21	vies	vie	NOUN
cuesj-205	43	22	as	as	SCONJ
cuesj-205	43	23	illustrated	illustrate	VERB
cuesj-205	43	24	in	in	ADP
cuesj-205	43	25	the	the	DET
cuesj-205	43	26	following	follow	VERB
cuesj-205	43	27	two	two	NUM
cuesj-205	43	28	examples	example	NOUN
cuesj-205	43	29	.	.	PUNCT
cuesj-205	44	1	example	example	NOUN
cuesj-205	44	2	3[16	3[16	NUM
cuesj-205	44	3	]	]	PUNCT
cuesj-205	44	4	consider	consider	VERB
cuesj-205	44	5	the	the	DET
cuesj-205	44	6	following	follow	VERB
cuesj-205	44	7	system	system	NOUN
cuesj-205	44	8	u	u	NOUN
cuesj-205	44	9	x	x	X
cuesj-205	44	10	e	e	NOUN
cuesj-205	44	11	x	x	SYM
cuesj-205	44	12	t	t	PROPN
cuesj-205	44	13	u	u	NOUN
cuesj-205	44	14	t	t	NOUN
cuesj-205	44	15	dt	dt	X
cuesj-205	44	16	u	u	PROPN
cuesj-205	44	17	x	x	PROPN
cuesj-205	44	18	xe	xe	PROPN
cuesj-205	44	19	e	e	PROPN
cuesj-205	44	20	t	t	NOUN
cuesj-205	44	21	e	e	X
cuesj-205	44	22	x	x	PUNCT
cuesj-205	44	23	x	x	PUNCT
cuesj-205	44	24	x	x	PUNCT
cuesj-205	44	25	x	x	SYM
cuesj-205	44	26	x	x	SYM
cuesj-205	44	27	u	u	NOUN
cuesj-205	44	28	1	1	NUM
cuesj-205	44	29	2	2	NUM
cuesj-205	44	30	0	0	NUM
cuesj-205	44	31	2	2	NUM
cuesj-205	44	32	2	2	NUM
cuesj-205	44	33	2	2	NUM
cuesj-205	44	34	0	0	NUM
cuesj-205	44	35	2	2	NUM
cuesj-205	44	36	1	1	NUM
cuesj-205	44	37	4	4	NUM
cuesj-205	44	38	1	1	NUM
cuesj-205	44	39	4	4	NUM
cuesj-205	44	40	2	2	NUM
cuesj-205	44	41	1	1	NUM
cuesj-205	44	42	1	1	NUM
cuesj-205	44	43	(	(	PUNCT
cuesj-205	44	44	)	)	PUNCT
cuesj-205	44	45	(	(	PUNCT
cuesj-205	44	46	)	)	PUNCT
cuesj-205	44	47	(	(	PUNCT
cuesj-205	44	48	)	)	PUNCT
cuesj-205	44	49	(	(	PUNCT
cuesj-205	44	50	)	)	PUNCT
cuesj-205	44	51	�	�	PROPN
cuesj-205	44	52	�	�	PROPN
cuesj-205	44	53	�	�	PROPN
cuesj-205	44	54	�	�	PROPN
cuesj-205	44	55	�	�	PROPN
cuesj-205	44	56	�	�	PROPN
cuesj-205	44	57	�	�	PROPN
cuesj-205	44	58	�	�	PROPN
cuesj-205	44	59	�	�	PROPN
cuesj-205	44	60	�	�	PROPN
cuesj-205	44	61	�	�	PROPN
cuesj-205	44	62	�	�	PROPN
cuesj-205	44	63	�	�	PROPN
cuesj-205	44	64	(	(	PUNCT
cuesj-205	44	65	(	(	PUNCT
cuesj-205	44	66	)	)	PUNCT
cuesj-205	44	67	t	t	NOUN
cuesj-205	44	68	dt	dt	X
cuesj-205	44	69	where	where	SCONJ
cuesj-205	44	70	actual	actual	ADJ
cuesj-205	44	71	solution	solution	NOUN
cuesj-205	44	72	u	u	NOUN
cuesj-205	44	73	x	x	NOUN
cuesj-205	44	74	x1	x1	PROPN
cuesj-205	44	75	1	1	NUM
cuesj-205	44	76	2	2	NUM
cuesj-205	44	77	(	(	PUNCT
cuesj-205	44	78	)	)	PUNCT
cuesj-205	44	79	�	�	PROPN
cuesj-205	44	80	�	�	PROPN
cuesj-205	44	81	and	and	CCONJ
cuesj-205	44	82	u	u	NOUN
cuesj-205	44	83	x	x	PROPN
cuesj-205	44	84	ex2	ex2	PROPN
cuesj-205	44	85	(	(	PUNCT
cuesj-205	44	86	)	)	PUNCT
cuesj-205	44	87	.=	.=	PROPN
cuesj-205	44	88	u1	u1	NOUN
cuesj-205	44	89	(	(	PUNCT
cuesj-205	44	90	0)=1	0)=1	NUM
cuesj-205	44	91	and	and	CCONJ
cuesj-205	44	92	u2	u2	PROPN
cuesj-205	44	93	(	(	PUNCT
cuesj-205	44	94	0)=1	0)=1	NUM
cuesj-205	44	95	�	�	PROPN
cuesj-205	44	96	�	�	PROPN
cuesj-205	44	97	�	�	PROPN
cuesj-205	44	98	�	�	PROPN
cuesj-205	44	99	�	�	PROPN
cuesj-205	44	100	�	�	PROPN
cuesj-205	44	101	�	�	PROPN
cuesj-205	44	102	�	�	PROPN
cuesj-205	44	103	�	�	PROPN
cuesj-205	44	104	�	�	PROPN
cuesj-205	44	105	�	�	PROPN
cuesj-205	44	106	�	�	PROPN
cuesj-205	44	107	�	�	PROPN
cuesj-205	44	108	�	�	PROPN
cuesj-205	44	109	�	�	PROPN
cuesj-205	44	110	�	�	PROPN
cuesj-205	44	111	u	u	PROPN
cuesj-205	44	112	x	x	X
cuesj-205	44	113	e	e	NOUN
cuesj-205	44	114	x	x	SYM
cuesj-205	44	115	x	x	SYM
cuesj-205	44	116	t	t	X
cuesj-205	44	117	u	u	NOUN
cuesj-205	44	118	t	t	NOUN
cuesj-205	44	119	dt	dt	NOUN
cuesj-205	44	120	x	x	PUNCT
cuesj-205	44	121	x	x	PUNCT
cuesj-205	44	122	u	u	NOUN
cuesj-205	44	123	x	x	X
cuesj-205	44	124	u	u	NOUN
cuesj-205	44	125	x	x	X
cuesj-205	44	126	e	e	NOUN
cuesj-205	44	127	x	x	SYM
cuesj-205	44	128	x	x	SYM
cuesj-205	44	129	x	x	SYM
cuesj-205	44	130	1	1	NUM
cuesj-205	44	131	2	2	NUM
cuesj-205	44	132	2	2	NUM
cuesj-205	44	133	2	2	NUM
cuesj-205	44	134	0	0	NUM
cuesj-205	44	135	2	2	NUM
cuesj-205	44	136	2	2	NUM
cuesj-205	44	137	2	2	NUM
cuesj-205	44	138	1	1	NUM
cuesj-205	44	139	2	2	NUM
cuesj-205	44	140	(	(	PUNCT
cuesj-205	44	141	)	)	PUNCT
cuesj-205	44	142	(	(	PUNCT
cuesj-205	44	143	)	)	PUNCT
cuesj-205	44	144	(	(	PUNCT
cuesj-205	44	145	)	)	PUNCT
cuesj-205	44	146	(	(	PUNCT
cuesj-205	44	147	)	)	PUNCT
cuesj-205	44	148	(	(	PUNCT
cuesj-205	44	149	)	)	PUNCT
cuesj-205	44	150	(	(	PUNCT
cuesj-205	44	151	)	)	PUNCT
cuesj-205	44	152	�	�	PROPN
cuesj-205	44	153	�	�	PROPN
cuesj-205	44	154	�	�	PROPN
cuesj-205	44	155	�	�	PROPN
cuesj-205	44	156	�	�	PROPN
cuesj-205	44	157	�	�	PROPN
cuesj-205	44	158	�	�	PROPN
cuesj-205	44	159	�	�	PROPN
cuesj-205	44	160	�	�	PROPN
cuesj-205	44	161	�	�	PROPN
cuesj-205	44	162	�	�	PROPN
cuesj-205	44	163	�	�	PROPN
cuesj-205	44	164	�	�	PROPN
cuesj-205	44	165	xe	xe	PROPN
cuesj-205	44	166	e	e	X
cuesj-205	44	167	x	x	PROPN
cuesj-205	44	168	t	t	X
cuesj-205	44	169	e	e	X
cuesj-205	44	170	dt	dt	NOUN
cuesj-205	44	171	x	x	X
cuesj-205	44	172	ex	ex	X
cuesj-205	44	173	x	x	PUNCT
cuesj-205	44	174	x	x	PUNCT
cuesj-205	44	175	u	u	NOUN
cuesj-205	44	176	t	t	X
cuesj-205	44	177	u	u	NOUN
cuesj-205	44	178	x2	x2	PROPN
cuesj-205	44	179	0	0	NUM
cuesj-205	44	180	2	2	NUM
cuesj-205	44	181	21	21	NUM
cuesj-205	44	182	1	1	NUM
cuesj-205	44	183	(	(	PUNCT
cuesj-205	44	184	)	)	PUNCT
cuesj-205	44	185	(	(	PUNCT
cuesj-205	44	186	)	)	PUNCT
cuesj-205	44	187	so	so	ADV
cuesj-205	44	188	,	,	PUNCT
cuesj-205	44	189	�	�	PROPN
cuesj-205	44	190	�	�	PROPN
cuesj-205	44	191	�	�	PROPN
cuesj-205	44	192	�	�	PROPN
cuesj-205	44	193	�	�	PROPN
cuesj-205	44	194	u	u	PROPN
cuesj-205	44	195	u1	u1	NOUN
cuesj-205	44	196	20	20	NUM
cuesj-205	44	197	1	1	NUM
cuesj-205	44	198	2	2	NUM
cuesj-205	44	199	0	0	NUM
cuesj-205	44	200	1	1	NUM
cuesj-205	44	201	(	(	PUNCT
cuesj-205	44	202	)	)	PUNCT
cuesj-205	44	203	(	(	PUNCT
cuesj-205	44	204	)	)	PUNCT
cuesj-205	44	205	and	and	CCONJ
cuesj-205	44	206	�	�	PROPN
cuesj-205	44	207	�	�	PROPN
cuesj-205	44	208	�	�	PROPN
cuesj-205	44	209	�	�	PROPN
cuesj-205	44	210	�	�	PROPN
cuesj-205	44	211	�	�	PROPN
cuesj-205	44	212	u	u	PROPN
cuesj-205	44	213	u1	u1	NOUN
cuesj-205	44	214	20	20	NUM
cuesj-205	44	215	0	0	NUM
cuesj-205	44	216	0	0	NUM
cuesj-205	44	217	1	1	NUM
cuesj-205	44	218	(	(	PUNCT
cuesj-205	44	219	)	)	PUNCT
cuesj-205	44	220	(	(	PUNCT
cuesj-205	44	221	)	)	PUNCT
cuesj-205	44	222	.and	.and	PUNCT
cuesj-205	45	1	by	by	ADP
cuesj-205	45	2	continuing	continue	VERB
cuesj-205	45	3	in	in	ADP
cuesj-205	45	4	this	this	DET
cuesj-205	45	5	process	process	NOUN
cuesj-205	45	6	,	,	PUNCT
cuesj-205	45	7	we	we	PRON
cuesj-205	45	8	can	can	AUX
cuesj-205	45	9	the	the	DET
cuesj-205	45	10	exact	exact	ADJ
cuesj-205	45	11	solution	solution	NOUN
cuesj-205	45	12	.	.	PUNCT
cuesj-205	46	1	example	example	NOUN
cuesj-205	46	2	4	4	NUM
cuesj-205	46	3	consider	consider	VERB
cuesj-205	46	4	the	the	DET
cuesj-205	46	5	following	follow	VERB
cuesj-205	46	6	system	system	NOUN
cuesj-205	46	7	u	u	NOUN
cuesj-205	46	8	x	x	NOUN
cuesj-205	46	9	x	x	PUNCT
cuesj-205	46	10	x	x	PUNCT
cuesj-205	46	11	u	u	NOUN
cuesj-205	46	12	t	t	X
cuesj-205	46	13	u	u	NOUN
cuesj-205	46	14	t	t	NOUN
cuesj-205	46	15	dt	dt	X
cuesj-205	46	16	u	u	NOUN
cuesj-205	46	17	x	x	NOUN
cuesj-205	46	18	x	x	PUNCT
cuesj-205	46	19	x	x	PUNCT
cuesj-205	46	20	u	u	NOUN
cuesj-205	46	21	t	t	NOUN
cuesj-205	46	22	x	x	PUNCT
cuesj-205	46	23	x	x	SYM
cuesj-205	46	24	1	1	NUM
cuesj-205	46	25	1	1	NUM
cuesj-205	46	26	2	2	NUM
cuesj-205	46	27	0	0	NUM
cuesj-205	46	28	2	2	NUM
cuesj-205	46	29	2	2	NUM
cuesj-205	46	30	2	2	NUM
cuesj-205	46	31	1	1	NUM
cuesj-205	46	32	2	2	NUM
cuesj-205	46	33	0	0	NUM
cuesj-205	46	34	3	3	NUM
cuesj-205	46	35	(	(	PUNCT
cuesj-205	46	36	)	)	PUNCT
cuesj-205	46	37	sec	sec	PROPN
cuesj-205	46	38	(	(	PUNCT
cuesj-205	46	39	)	)	PUNCT
cuesj-205	46	40	(	(	PUNCT
cuesj-205	46	41	)	)	PUNCT
cuesj-205	46	42	(	(	PUNCT
cuesj-205	46	43	)	)	PUNCT
cuesj-205	46	44	(	(	PUNCT
cuesj-205	46	45	)	)	PUNCT
cuesj-205	46	46	tan	tan	PROPN
cuesj-205	46	47	(	(	PUNCT
cuesj-205	46	48	)	)	PUNCT
cuesj-205	46	49	(	(	PUNCT
cuesj-205	46	50	)	)	PUNCT
cuesj-205	46	51	�	�	PROPN
cuesj-205	46	52	�	�	PROPN
cuesj-205	46	53	�	�	PROPN
cuesj-205	46	54	�	�	PROPN
cuesj-205	46	55	�	�	PROPN
cuesj-205	46	56	�	�	PROPN
cuesj-205	46	57	�	�	PROPN
cuesj-205	46	58	�	�	PROPN
cuesj-205	46	59	�	�	PROPN
cuesj-205	46	60	�	�	PROPN
cuesj-205	46	61	�	�	PROPN
cuesj-205	46	62	u	u	PROPN
cuesj-205	46	63	t	t	PROPN
cuesj-205	46	64	dt2	dt2	PROPN
cuesj-205	46	65	2	2	NUM
cuesj-205	46	66	(	(	PUNCT
cuesj-205	46	67	)	)	PUNCT
cuesj-205	46	68	with	with	ADP
cuesj-205	46	69	exact	exact	ADJ
cuesj-205	46	70	solution	solution	NOUN
cuesj-205	46	71	u1	u1	NOUN
cuesj-205	46	72	(	(	PUNCT
cuesj-205	46	73	x)=sec(x	x)=sec(x	PROPN
cuesj-205	46	74	)	)	PUNCT
cuesj-205	46	75	and	and	CCONJ
cuesj-205	46	76	u2	u2	PROPN
cuesj-205	46	77	(	(	PUNCT
cuesj-205	46	78	x)=tan(x	x)=tan(x	PROPN
cuesj-205	46	79	)	)	PUNCT
cuesj-205	46	80	.	.	PUNCT
cuesj-205	47	1	u1	u1	PROPN
cuesj-205	47	2	(	(	PUNCT
cuesj-205	47	3	0)=1	0)=1	NUM
cuesj-205	47	4	and	and	CCONJ
cuesj-205	47	5	u2	u2	PROPN
cuesj-205	47	6	(	(	PUNCT
cuesj-205	47	7	0)=1	0)=1	NUM
cuesj-205	47	8	�	�	PROPN
cuesj-205	47	9	�	�	PROPN
cuesj-205	47	10	�	�	PROPN
cuesj-205	47	11	�	�	PROPN
cuesj-205	47	12	�	�	PROPN
cuesj-205	47	13	�	�	PROPN
cuesj-205	47	14	�	�	PROPN
cuesj-205	47	15	�	�	PROPN
cuesj-205	47	16	�	�	PROPN
cuesj-205	47	17	�	�	PROPN
cuesj-205	47	18	�	�	PROPN
cuesj-205	47	19	�	�	PROPN
cuesj-205	47	20	u	u	NOUN
cuesj-205	47	21	x	x	NOUN
cuesj-205	47	22	x	x	PUNCT
cuesj-205	47	23	x	x	PUNCT
cuesj-205	47	24	x	x	PUNCT
cuesj-205	47	25	u	u	NOUN
cuesj-205	47	26	t	t	X
cuesj-205	47	27	u	u	NOUN
cuesj-205	47	28	t	t	NOUN
cuesj-205	47	29	dt	dt	X
cuesj-205	47	30	u	u	X
cuesj-205	47	31	x	x	X
cuesj-205	47	32	u	u	NOUN
cuesj-205	47	33	x	x	NOUN
cuesj-205	47	34	x	x	SYM
cuesj-205	47	35	1	1	NUM
cuesj-205	47	36	1	1	NUM
cuesj-205	47	37	2	2	NUM
cuesj-205	47	38	2	2	NUM
cuesj-205	47	39	2	2	NUM
cuesj-205	47	40	0	0	NUM
cuesj-205	47	41	1	1	NUM
cuesj-205	47	42	2	2	NUM
cuesj-205	47	43	2	2	NUM
cuesj-205	47	44	21	21	NUM
cuesj-205	47	45	(	(	PUNCT
cuesj-205	47	46	)	)	PUNCT
cuesj-205	47	47	sec	sec	PROPN
cuesj-205	47	48	(	(	PUNCT
cuesj-205	47	49	)	)	PUNCT
cuesj-205	47	50	tan	tan	PROPN
cuesj-205	47	51	(	(	PUNCT
cuesj-205	47	52	)	)	PUNCT
cuesj-205	47	53	(	(	PUNCT
cuesj-205	47	54	)	)	PUNCT
cuesj-205	47	55	(	(	PUNCT
cuesj-205	47	56	)	)	PUNCT
cuesj-205	47	57	(	(	PUNCT
cuesj-205	47	58	)	)	PUNCT
cuesj-205	47	59	(	(	PUNCT
cuesj-205	47	60	)	)	PUNCT
cuesj-205	47	61	)	)	PUNCT
cuesj-205	47	62	(	(	PUNCT
cuesj-205	47	63	)	)	PUNCT
cuesj-205	47	64	sec	sec	PROPN
cuesj-205	47	65	(	(	PUNCT
cuesj-205	47	66	)	)	PUNCT
cuesj-205	47	67	(	(	PUNCT
cuesj-205	47	68	)	)	PUNCT
cuesj-205	47	69	(	(	PUNCT
cuesj-205	47	70	)	)	PUNCT
cuesj-205	47	71	(	(	PUNCT
cuesj-205	47	72	)	)	PUNCT
cuesj-205	47	73	(	(	PUNCT
cuesj-205	47	74	�	�	PROPN
cuesj-205	47	75	�	�	PROPN
cuesj-205	47	76	�	�	PROPN
cuesj-205	47	77	�	�	PROPN
cuesj-205	47	78	�	�	PROPN
cuesj-205	47	79	�	�	PROPN
cuesj-205	47	80	�	�	PROPN
cuesj-205	47	81	�	�	PROPN
cuesj-205	47	82	�	�	PROPN
cuesj-205	47	83	�	�	PROPN
cuesj-205	47	84	�	�	PROPN
cuesj-205	47	85	�	�	PROPN
cuesj-205	47	86	�	�	PROPN
cuesj-205	47	87	�	�	PROPN
cuesj-205	47	88	u	u	NOUN
cuesj-205	47	89	x	x	NOUN
cuesj-205	47	90	x	x	PUNCT
cuesj-205	47	91	x	x	PUNCT
cuesj-205	47	92	u	u	NOUN
cuesj-205	47	93	t	t	X
cuesj-205	47	94	u	u	NOUN
cuesj-205	47	95	t	t	NOUN
cuesj-205	47	96	dt	dt	X
cuesj-205	47	97	u	u	X
cuesj-205	47	98	x	x	X
cuesj-205	47	99	u	u	NOUN
cuesj-205	47	100	x	x	NOUN
cuesj-205	47	101	x	x	SYM
cuesj-205	47	102	2	2	NUM
cuesj-205	47	103	2	2	NUM
cuesj-205	47	104	1	1	NUM
cuesj-205	47	105	2	2	NUM
cuesj-205	47	106	2	2	NUM
cuesj-205	47	107	2	2	NUM
cuesj-205	47	108	0	0	NUM
cuesj-205	47	109	1	1	NUM
cuesj-205	47	110	2	2	NUM
cuesj-205	47	111	2	2	NUM
cuesj-205	47	112	23	23	NUM
cuesj-205	47	113	1	1	NUM
cuesj-205	47	114	)	)	PUNCT
cuesj-205	47	115	)	)	PUNCT
cuesj-205	47	116	�	�	PROPN
cuesj-205	47	117	�	�	PROPN
cuesj-205	47	118	so	so	ADV
cuesj-205	47	119	,	,	PUNCT
cuesj-205	47	120	�	�	PROPN
cuesj-205	47	121	�	�	PROPN
cuesj-205	47	122	�	�	PROPN
cuesj-205	47	123	�	�	PROPN
cuesj-205	47	124	u	u	PROPN
cuesj-205	47	125	u1	u1	NOUN
cuesj-205	47	126	20	20	NUM
cuesj-205	47	127	0	0	NUM
cuesj-205	47	128	0	0	NUM
cuesj-205	47	129	1	1	NUM
cuesj-205	47	130	(	(	PUNCT
cuesj-205	47	131	)	)	PUNCT
cuesj-205	47	132	(	(	PUNCT
cuesj-205	47	133	)	)	PUNCT
cuesj-205	47	134	and	and	CCONJ
cuesj-205	47	135	by	by	ADP
cuesj-205	47	136	the	the	DET
cuesj-205	47	137	same	same	ADJ
cuesj-205	47	138	manner	manner	NOUN
cuesj-205	47	139	,	,	PUNCT
cuesj-205	47	140	we	we	PRON
cuesj-205	47	141	can	can	AUX
cuesj-205	47	142	get	get	VERB
cuesj-205	47	143	the	the	DET
cuesj-205	47	144	exact	exact	ADJ
cuesj-205	47	145	solution	solution	NOUN
cuesj-205	47	146	.	.	PUNCT
cuesj-205	48	1	conclusion	conclusion	NOUN
cuesj-205	48	2	taylor	taylor	PROPN
cuesj-205	48	3	series	series	PROPN
cuesj-205	48	4	expansion	expansion	NOUN
cuesj-205	48	5	was	be	AUX
cuesj-205	48	6	applied	apply	VERB
cuesj-205	48	7	successfully	successfully	ADV
cuesj-205	48	8	to	to	PART
cuesj-205	48	9	find	find	VERB
cuesj-205	48	10	an	an	DET
cuesj-205	48	11	approximate	approximate	ADJ
cuesj-205	48	12	or	or	CCONJ
cuesj-205	48	13	exact	exact	ADJ
cuesj-205	48	14	series	series	NOUN
cuesj-205	48	15	solution	solution	NOUN
cuesj-205	48	16	of	of	ADP
cuesj-205	48	17	single	single	ADJ
cuesj-205	48	18	and	and	CCONJ
cuesj-205	48	19	system	system	NOUN
cuesj-205	48	20	of	of	ADP
cuesj-205	48	21	non	non	ADJ
cuesj-205	48	22	-	-	ADJ
cuesj-205	48	23	linear	linear	ADJ
cuesj-205	48	24	vies	vie	NOUN
cuesj-205	48	25	in	in	ADP
cuesj-205	48	26	the	the	DET
cuesj-205	48	27	second	second	ADJ
cuesj-205	48	28	kind	kind	NOUN
cuesj-205	48	29	.	.	PUNCT
cuesj-205	49	1	the	the	DET
cuesj-205	49	2	method	method	NOUN
cuesj-205	49	3	was	be	AUX
cuesj-205	49	4	tested	test	VERB
cuesj-205	49	5	by	by	ADP
cuesj-205	49	6	taking	take	VERB
cuesj-205	49	7	four	four	NUM
cuesj-205	49	8	numerical	numerical	ADJ
cuesj-205	49	9	examples	example	NOUN
cuesj-205	49	10	and	and	CCONJ
cuesj-205	49	11	good	good	ADJ
cuesj-205	49	12	results	result	NOUN
cuesj-205	49	13	were	be	AUX
cuesj-205	49	14	obtained	obtain	VERB
cuesj-205	49	15	.	.	PUNCT
cuesj-205	50	1	we	we	PRON
cuesj-205	50	2	also	also	ADV
cuesj-205	50	3	conclude	conclude	VERB
cuesj-205	50	4	that	that	SCONJ
cuesj-205	50	5	the	the	DET
cuesj-205	50	6	solution	solution	NOUN
cuesj-205	50	7	obtained	obtain	VERB
cuesj-205	50	8	by	by	ADP
cuesj-205	50	9	taylor	taylor	PROPN
cuesj-205	50	10	series	series	PROPN
cuesj-205	50	11	expansion	expansion	NOUN
cuesj-205	50	12	is	be	AUX
cuesj-205	50	13	given	give	VERB
cuesj-205	50	14	by	by	ADP
cuesj-205	50	15	a	a	DET
cuesj-205	50	16	function	function	NOUN
cuesj-205	50	17	and	and	CCONJ
cuesj-205	50	18	not	not	PART
cuesj-205	50	19	only	only	ADV
cuesj-205	50	20	at	at	ADP
cuesj-205	50	21	some	some	DET
cuesj-205	50	22	points	point	NOUN
cuesj-205	50	23	and	and	CCONJ
cuesj-205	50	24	numerical	numerical	ADJ
cuesj-205	50	25	computations	computation	NOUN
cuesj-205	50	26	of	of	ADP
cuesj-205	50	27	this	this	DET
cuesj-205	50	28	method	method	NOUN
cuesj-205	50	29	are	be	AUX
cuesj-205	50	30	simple	simple	ADJ
cuesj-205	50	31	and	and	CCONJ
cuesj-205	50	32	the	the	DET
cuesj-205	50	33	convergence	convergence	NOUN
cuesj-205	50	34	is	be	AUX
cuesj-205	50	35	satisfactory	satisfactory	ADJ
cuesj-205	50	36	.	.	PUNCT
cuesj-205	51	1	references	reference	NOUN
cuesj-205	51	2	1	1	NUM
cuesj-205	51	3	.	.	PUNCT
cuesj-205	51	4	j.	j.	PROPN
cuesj-205	51	5	l.	l.	PROPN
cuesj-205	51	6	hess	hess	PROPN
cuesj-205	51	7	.	.	PUNCT
cuesj-205	52	1	review	review	NOUN
cuesj-205	52	2	of	of	ADP
cuesj-205	52	3	integral	integral	ADJ
cuesj-205	52	4	-	-	PUNCT
cuesj-205	52	5	equation	equation	NOUN
cuesj-205	52	6	techniques	technique	NOUN
cuesj-205	52	7	for	for	ADP
cuesj-205	52	8	solving	solve	VERB
cuesj-205	52	9	potential	potential	ADJ
cuesj-205	52	10	-	-	PUNCT
cuesj-205	52	11	flow	flow	NOUN
cuesj-205	52	12	problems	problem	NOUN
cuesj-205	52	13	with	with	ADP
cuesj-205	52	14	emphasis	emphasis	NOUN
cuesj-205	52	15	on	on	ADP
cuesj-205	52	16	the	the	DET
cuesj-205	52	17	surface	surface	NOUN
cuesj-205	52	18	-	-	PUNCT
cuesj-205	52	19	source	source	NOUN
cuesj-205	52	20	method	method	NOUN
cuesj-205	52	21	.	.	PUNCT
cuesj-205	53	1	computer	computer	NOUN
cuesj-205	53	2	methods	method	NOUN
cuesj-205	53	3	in	in	ADP
cuesj-205	53	4	applied	applied	ADJ
cuesj-205	53	5	mechanics	mechanic	NOUN
cuesj-205	53	6	and	and	CCONJ
cuesj-205	53	7	engineering	engineering	NOUN
cuesj-205	53	8	,	,	PUNCT
cuesj-205	53	9	vol	vol	NOUN
cuesj-205	53	10	.	.	PROPN
cuesj-205	54	1	5	5	NUM
cuesj-205	54	2	,	,	PUNCT
cuesj-205	54	3	no	no	INTJ
cuesj-205	54	4	.	.	NOUN
cuesj-205	54	5	2	2	NUM
cuesj-205	54	6	,	,	PUNCT
cuesj-205	54	7	pp	pp	ADJ
cuesj-205	54	8	.	.	PUNCT
cuesj-205	55	1	145	145	NUM
cuesj-205	55	2	-	-	SYM
cuesj-205	55	3	196	196	NUM
cuesj-205	55	4	,	,	PUNCT
cuesj-205	55	5	1975	1975	NUM
cuesj-205	55	6	.	.	PUNCT
cuesj-205	56	1	2	2	X
cuesj-205	56	2	.	.	X
cuesj-205	56	3	s.	s.	PROPN
cuesj-205	56	4	a.	a.	PROPN
cuesj-205	56	5	edalatpanah	edalatpanah	PROPN
cuesj-205	56	6	and	and	CCONJ
cuesj-205	56	7	e.	e.	PROPN
cuesj-205	56	8	abdolmaleki	abdolmaleki	PROPN
cuesj-205	56	9	.	.	PUNCT
cuesj-205	57	1	a	a	DET
cuesj-205	57	2	new	new	ADJ
cuesj-205	57	3	collocation	collocation	NOUN
cuesj-205	57	4	method	method	NOUN
cuesj-205	57	5	for	for	ADP
cuesj-205	57	6	systems	system	NOUN
cuesj-205	57	7	of	of	ADP
cuesj-205	57	8	nonlinear	nonlinear	ADJ
cuesj-205	57	9	fredholm	fredholm	ADJ
cuesj-205	57	10	integral	integral	ADJ
cuesj-205	57	11	equations	equation	NOUN
cuesj-205	57	12	.	.	PUNCT
cuesj-205	58	1	applied	apply	VERB
cuesj-205	58	2	mathematics	mathematic	NOUN
cuesj-205	58	3	and	and	CCONJ
cuesj-205	58	4	physics	physics	NOUN
cuesj-205	58	5	,	,	PUNCT
cuesj-205	58	6	vol	vol	NOUN
cuesj-205	58	7	.	.	PROPN
cuesj-205	58	8	2	2	NUM
cuesj-205	58	9	,	,	PUNCT
cuesj-205	58	10	no	no	INTJ
cuesj-205	58	11	.	.	NOUN
cuesj-205	58	12	1	1	NUM
cuesj-205	58	13	,	,	PUNCT
cuesj-205	58	14	pp	pp	ADJ
cuesj-205	58	15	.	.	PUNCT
cuesj-205	59	1	15	15	NUM
cuesj-205	59	2	-	-	SYM
cuesj-205	59	3	18	18	NUM
cuesj-205	59	4	,	,	PUNCT
cuesj-205	59	5	2014	2014	NUM
cuesj-205	59	6	.	.	PUNCT
cuesj-205	60	1	3	3	X
cuesj-205	60	2	.	.	PUNCT
cuesj-205	60	3	h.	h.	PROPN
cuesj-205	60	4	ibrahim	ibrahim	PROPN
cuesj-205	60	5	,	,	PUNCT
cuesj-205	60	6	f.	f.	PROPN
cuesj-205	60	7	attah	attah	PROPN
cuesj-205	60	8	,	,	PUNCT
cuesj-205	60	9	g.	g.	PROPN
cuesj-205	60	10	t.	t.	NOUN
cuesj-205	60	11	gyegwe	gyegwe	NOUN
cuesj-205	60	12	.	.	PUNCT
cuesj-205	61	1	on	on	ADP
cuesj-205	61	2	the	the	DET
cuesj-205	61	3	solution	solution	NOUN
cuesj-205	61	4	of	of	ADP
cuesj-205	61	5	volterrafredholm	volterrafredholm	NOUN
cuesj-205	61	6	and	and	CCONJ
cuesj-205	61	7	mixed	mixed	ADJ
cuesj-205	61	8	volterra	volterra	NOUN
cuesj-205	61	9	-	-	PUNCT
cuesj-205	61	10	fredholm	fredholm	NOUN
cuesj-205	61	11	integral	integral	ADJ
cuesj-205	61	12	equations	equation	NOUN
cuesj-205	61	13	using	use	VERB
cuesj-205	61	14	the	the	DET
cuesj-205	61	15	new	new	ADJ
cuesj-205	61	16	iterative	iterative	NOUN
cuesj-205	61	17	method	method	NOUN
cuesj-205	61	18	.	.	PUNCT
cuesj-205	62	1	applied	apply	VERB
cuesj-205	62	2	mathematics	mathematic	NOUN
cuesj-205	62	3	,	,	PUNCT
cuesj-205	62	4	vol	vol	NOUN
cuesj-205	62	5	.	.	PROPN
cuesj-205	62	6	6	6	NUM
cuesj-205	62	7	,	,	PUNCT
cuesj-205	62	8	no	no	INTJ
cuesj-205	62	9	.	.	NOUN
cuesj-205	62	10	1	1	NUM
cuesj-205	62	11	,	,	PUNCT
cuesj-205	62	12	pp	pp	ADJ
cuesj-205	62	13	.	.	PUNCT
cuesj-205	63	1	1	1	NUM
cuesj-205	63	2	-	-	SYM
cuesj-205	63	3	5	5	NUM
cuesj-205	63	4	,	,	PUNCT
cuesj-205	63	5	2016	2016	NUM
cuesj-205	63	6	.	.	PUNCT
cuesj-205	64	1	4	4	NUM
cuesj-205	64	2	.	.	X
cuesj-205	64	3	a.	a.	NOUN
cuesj-205	64	4	m.	m.	PROPN
cuesj-205	64	5	wazwaz	wazwaz	PROPN
cuesj-205	64	6	.	.	PUNCT
cuesj-205	65	1	linear	linear	ADJ
cuesj-205	65	2	and	and	CCONJ
cuesj-205	65	3	nonlinear	nonlinear	ADJ
cuesj-205	65	4	integral	integral	ADJ
cuesj-205	65	5	equations	equation	NOUN
cuesj-205	65	6	.	.	PUNCT
cuesj-205	66	1	berlin	berlin	ADJ
cuesj-205	66	2	:	:	PUNCT
cuesj-205	66	3	springer	springer	NOUN
cuesj-205	66	4	,	,	PUNCT
cuesj-205	66	5	2011	2011	NUM
cuesj-205	66	6	.	.	PUNCT
cuesj-205	67	1	5	5	NUM
cuesj-205	67	2	.	.	X
cuesj-205	67	3	r.	r.	PROPN
cuesj-205	67	4	k.	k.	PROPN
cuesj-205	67	5	saeed	saeed	PROPN
cuesj-205	67	6	.	.	PUNCT
cuesj-205	68	1	computational	computational	ADJ
cuesj-205	68	2	methods	method	NOUN
cuesj-205	68	3	for	for	ADP
cuesj-205	68	4	solving	solve	VERB
cuesj-205	68	5	system	system	NOUN
cuesj-205	68	6	of	of	ADP
cuesj-205	68	7	linear	linear	PROPN
cuesj-205	68	8	volterra	volterra	PROPN
cuesj-205	68	9	integral	integral	ADJ
cuesj-205	68	10	and	and	CCONJ
cuesj-205	68	11	integro	integro	ADJ
cuesj-205	68	12	-	-	PUNCT
cuesj-205	68	13	differential	differential	NOUN
cuesj-205	68	14	equations	equation	NOUN
cuesj-205	68	15	(	(	PUNCT
cuesj-205	68	16	doctoral	doctoral	ADJ
cuesj-205	68	17	dissertation	dissertation	NOUN
cuesj-205	68	18	,	,	PUNCT
cuesj-205	68	19	ph	ph	PROPN
cuesj-205	68	20	.	.	PROPN
cuesj-205	68	21	d.	d.	PROPN
cuesj-205	68	22	thesis	thesis	PROPN
cuesj-205	68	23	,	,	PUNCT
cuesj-205	68	24	university	university	NOUN
cuesj-205	68	25	of	of	ADP
cuesj-205	68	26	salahaddin/	salahaddin/	NUM
cuesj-205	68	27	erbil	erbil	NOUN
cuesj-205	68	28	-	-	PUNCT
cuesj-205	68	29	collage	collage	NOUN
cuesj-205	68	30	of	of	ADP
cuesj-205	68	31	science	science	NOUN
cuesj-205	68	32	)	)	PUNCT
cuesj-205	68	33	,	,	PUNCT
cuesj-205	68	34	2006	2006	NUM
cuesj-205	68	35	.	.	PUNCT
cuesj-205	69	1	6	6	NUM
cuesj-205	69	2	.	.	PUNCT
cuesj-205	69	3	p.	p.	NOUN
cuesj-205	69	4	j.	j.	PROPN
cuesj-205	69	5	davis	davis	PROPN
cuesj-205	69	6	.	.	PUNCT
cuesj-205	70	1	interpolation	interpolation	NOUN
cuesj-205	70	2	and	and	CCONJ
cuesj-205	70	3	approximation	approximation	NOUN
cuesj-205	70	4	.	.	PUNCT
cuesj-205	71	1	new	new	PROPN
cuesj-205	71	2	york	york	PROPN
cuesj-205	71	3	:	:	PUNCT
cuesj-205	71	4	dover	dover	PROPN
cuesj-205	71	5	publication	publication	PROPN
cuesj-205	71	6	,	,	PUNCT
cuesj-205	71	7	inc	inc	PROPN
cuesj-205	71	8	.	.	PROPN
cuesj-205	71	9	,	,	PUNCT
cuesj-205	71	10	1975	1975	NUM
cuesj-205	71	11	.	.	PUNCT
cuesj-205	72	1	7	7	X
cuesj-205	72	2	.	.	X
cuesj-205	72	3	k.	k.	PROPN
cuesj-205	72	4	e.	e.	PROPN
cuesj-205	72	5	atkinson	atkinson	PROPN
cuesj-205	72	6	.	.	PUNCT
cuesj-205	73	1	an	an	DET
cuesj-205	73	2	introduction	introduction	NOUN
cuesj-205	73	3	to	to	ADP
cuesj-205	73	4	numerical	numerical	ADJ
cuesj-205	73	5	analysis	analysis	NOUN
cuesj-205	73	6	.	.	PUNCT
cuesj-205	74	1	2nd	2nd	ADJ
cuesj-205	74	2	ed	ed	NOUN
cuesj-205	74	3	.	.	PUNCT
cuesj-205	75	1	hoboken	hoboken	PROPN
cuesj-205	75	2	,	,	PUNCT
cuesj-205	75	3	new	new	PROPN
cuesj-205	75	4	jersey	jersey	PROPN
cuesj-205	75	5	:	:	PUNCT
cuesj-205	75	6	john	john	PROPN
cuesj-205	75	7	wiley	wiley	PROPN
cuesj-205	75	8	and	and	CCONJ
cuesj-205	75	9	sons	son	NOUN
cuesj-205	75	10	,	,	PUNCT
cuesj-205	75	11	2008	2008	NUM
cuesj-205	75	12	.	.	PUNCT
cuesj-205	76	1	8	8	NUM
cuesj-205	76	2	.	.	PUNCT
cuesj-205	76	3	s.	s.	PROPN
cuesj-205	76	4	c.	c.	PROPN
cuesj-205	76	5	chapra	chapra	PROPN
cuesj-205	76	6	,	,	PUNCT
cuesj-205	76	7	r.	r.	PROPN
cuesj-205	76	8	p.	p.	PROPN
cuesj-205	76	9	canale	canale	PROPN
cuesj-205	76	10	.	.	PUNCT
cuesj-205	77	1	numerical	numerical	ADJ
cuesj-205	77	2	methods	method	NOUN
cuesj-205	77	3	for	for	ADP
cuesj-205	77	4	engineers	engineer	NOUN
cuesj-205	77	5	.	.	PUNCT
cuesj-205	78	1	4th	4th	ADJ
cuesj-205	78	2	ed	ed	PROPN
cuesj-205	78	3	.	.	PUNCT
cuesj-205	78	4	boston	boston	PROPN
cuesj-205	78	5	:	:	PUNCT
cuesj-205	78	6	mcgraw	mcgraw	PROPN
cuesj-205	78	7	-	-	PUNCT
cuesj-205	78	8	hill	hill	NOUN
cuesj-205	78	9	higher	high	ADJ
cuesj-205	78	10	education	education	NOUN
cuesj-205	78	11	,	,	PUNCT
cuesj-205	78	12	2010	2010	NUM
cuesj-205	78	13	.	.	PUNCT
cuesj-205	79	1	9	9	NUM
cuesj-205	79	2	.	.	X
cuesj-205	79	3	e.	e.	PROPN
cuesj-205	79	4	w.	w.	PROPN
cuesj-205	79	5	cheney	cheney	PROPN
cuesj-205	79	6	,	,	PUNCT
cuesj-205	79	7	d.	d.	PROPN
cuesj-205	79	8	r.	r.	PROPN
cuesj-205	79	9	kincaid	kincaid	PROPN
cuesj-205	79	10	.	.	PUNCT
cuesj-205	80	1	numerical	numerical	PROPN
cuesj-205	80	2	mathematics	mathematics	PROPN
cuesj-205	80	3	and	and	CCONJ
cuesj-205	80	4	computing	computing	NOUN
cuesj-205	80	5	.	.	PUNCT
cuesj-205	81	1	monterey	monterey	PROPN
cuesj-205	81	2	county	county	PROPN
cuesj-205	81	3	:	:	PUNCT
cuesj-205	81	4	cengage	cengage	PROPN
cuesj-205	81	5	learning	learning	PROPN
cuesj-205	81	6	,	,	PUNCT
cuesj-205	81	7	brooks	brooks	PROPN
cuesj-205	81	8	/	/	SYM
cuesj-205	81	9	cole	cole	PROPN
cuesj-205	81	10	publishing	publishing	NOUN
cuesj-205	81	11	company	company	NOUN
cuesj-205	81	12	,	,	PUNCT
cuesj-205	81	13	2012	2012	NUM
cuesj-205	81	14	.	.	PUNCT
cuesj-205	82	1	10	10	NUM
cuesj-205	82	2	.	.	PUNCT
cuesj-205	82	3	g.	g.	PROPN
cuesj-205	82	4	hall	hall	PROPN
cuesj-205	82	5	,	,	PUNCT
cuesj-205	82	6	j.	j.	PROPN
cuesj-205	82	7	m.	m.	PROPN
cuesj-205	82	8	watt	watt	PROPN
cuesj-205	82	9	.	.	PUNCT
cuesj-205	83	1	modern	modern	ADJ
cuesj-205	83	2	numerical	numerical	ADJ
cuesj-205	83	3	methods	method	NOUN
cuesj-205	83	4	for	for	ADP
cuesj-205	83	5	ordinary	ordinary	ADJ
cuesj-205	83	6	differential	differential	ADJ
cuesj-205	83	7	equations	equation	NOUN
cuesj-205	83	8	.	.	PUNCT
cuesj-205	84	1	oxford	oxford	NOUN
cuesj-205	84	2	:	:	PUNCT
cuesj-205	84	3	oxford	oxford	PROPN
cuesj-205	84	4	university	university	PROPN
cuesj-205	84	5	press	press	NOUN
cuesj-205	84	6	,	,	PUNCT
cuesj-205	84	7	1976	1976	NUM
cuesj-205	84	8	.	.	PUNCT
cuesj-205	85	1	11	11	NUM
cuesj-205	85	2	.	.	PUNCT
cuesj-205	86	1	c.	c.	PROPN
cuesj-205	86	2	t.	t.	PROPN
cuesj-205	86	3	baker	baker	PROPN
cuesj-205	86	4	,	,	PUNCT
cuesj-205	86	5	g.	g.	PROPN
cuesj-205	86	6	f.	f.	PROPN
cuesj-205	86	7	miller	miller	PROPN
cuesj-205	86	8	.	.	PUNCT
cuesj-205	87	1	treatment	treatment	NOUN
cuesj-205	87	2	of	of	ADP
cuesj-205	87	3	integral	integral	ADJ
cuesj-205	87	4	equations	equation	NOUN
cuesj-205	87	5	by	by	ADP
cuesj-205	87	6	numerical	numerical	ADJ
cuesj-205	87	7	methods	method	NOUN
cuesj-205	87	8	:	:	PUNCT
cuesj-205	87	9	based	base	VERB
cuesj-205	87	10	on	on	ADP
cuesj-205	87	11	the	the	DET
cuesj-205	87	12	proceedings	proceeding	NOUN
cuesj-205	87	13	of	of	ADP
cuesj-205	87	14	a	a	DET
cuesj-205	87	15	symposium	symposium	NOUN
cuesj-205	87	16	held	hold	VERB
cuesj-205	87	17	in	in	ADP
cuesj-205	87	18	durham	durham	PROPN
cuesj-205	87	19	from	from	ADP
cuesj-205	87	20	19	19	NUM
cuesj-205	87	21	-	-	SYM
cuesj-205	87	22	29	29	NUM
cuesj-205	87	23	july	july	PROPN
cuesj-205	87	24	,	,	PUNCT
cuesj-205	87	25	1982	1982	NUM
cuesj-205	87	26	,	,	PUNCT
cuesj-205	87	27	organized	organize	VERB
cuesj-205	87	28	under	under	ADP
cuesj-205	87	29	auspices	auspex	NOUN
cuesj-205	87	30	of	of	ADP
cuesj-205	87	31	the	the	DET
cuesj-205	87	32	london	london	PROPN
cuesj-205	87	33	mathematical	mathematical	ADJ
cuesj-205	87	34	society	society	NOUN
cuesj-205	87	35	.	.	PUNCT
cuesj-205	88	1	london	london	PROPN
cuesj-205	88	2	:	:	PUNCT
cuesj-205	88	3	academic	academic	ADJ
cuesj-205	88	4	press	press	NOUN
cuesj-205	88	5	,	,	PUNCT
cuesj-205	88	6	1982	1982	NUM
cuesj-205	88	7	.	.	PUNCT
cuesj-205	89	1	12	12	NUM
cuesj-205	89	2	.	.	PUNCT
cuesj-205	90	1	l.	l.	PROPN
cuesj-205	90	2	m.	m.	PROPN
cuesj-205	90	3	delves	delf	NOUN
cuesj-205	90	4	,	,	PUNCT
cuesj-205	90	5	j.	j.	PROPN
cuesj-205	90	6	walsh	walsh	PROPN
cuesj-205	90	7	.	.	PUNCT
cuesj-205	91	1	numerical	numerical	ADJ
cuesj-205	91	2	solution	solution	NOUN
cuesj-205	91	3	of	of	ADP
cuesj-205	91	4	integral	integral	ADJ
cuesj-205	91	5	equations	equation	NOUN
cuesj-205	91	6	.	.	PUNCT
cuesj-205	92	1	oxford	oxford	PROPN
cuesj-205	92	2	,	,	PUNCT
cuesj-205	92	3	england	england	PROPN
cuesj-205	92	4	:	:	PUNCT
cuesj-205	92	5	claredon	claredon	PROPN
cuesj-205	92	6	press	press	PROPN
cuesj-205	92	7	oxford	oxford	NOUN
cuesj-205	92	8	,	,	PUNCT
cuesj-205	92	9	1974	1974	NUM
cuesj-205	92	10	.	.	PUNCT
cuesj-205	93	1	13	13	NUM
cuesj-205	93	2	.	.	PUNCT
cuesj-205	93	3	o.	o.	PROPN
cuesj-205	93	4	a.	a.	NOUN
cuesj-205	93	5	faour	faour	PROPN
cuesj-205	93	6	.	.	PUNCT
cuesj-205	94	1	solving	solve	VERB
cuesj-205	94	2	non	non	ADJ
cuesj-205	94	3	-	-	ADJ
cuesj-205	94	4	linear	linear	ADJ
cuesj-205	94	5	integral	integral	ADJ
cuesj-205	94	6	equations	equation	NOUN
cuesj-205	94	7	using	use	VERB
cuesj-205	94	8	(	(	PUNCT
cuesj-205	94	9	b2	b2	NOUN
cuesj-205	94	10	-	-	PUNCT
cuesj-205	94	11	spline	spline	NOUN
cuesj-205	94	12	)	)	PUNCT
cuesj-205	94	13	function	function	NOUN
cuesj-205	94	14	.	.	PUNCT
cuesj-205	95	1	journal	journal	PROPN
cuesj-205	95	2	of	of	ADP
cuesj-205	95	3	university	university	PROPN
cuesj-205	95	4	of	of	ADP
cuesj-205	95	5	babylon	babylon	PROPN
cuesj-205	95	6	for	for	ADP
cuesj-205	95	7	pure	pure	ADJ
cuesj-205	95	8	and	and	CCONJ
cuesj-205	95	9	applied	applied	ADJ
cuesj-205	95	10	sciences	science	NOUN
cuesj-205	95	11	,	,	PUNCT
cuesj-205	95	12	vol	vol	NOUN
cuesj-205	95	13	.	.	PROPN
cuesj-205	95	14	7	7	NUM
cuesj-205	95	15	,	,	PUNCT
cuesj-205	95	16	no	no	INTJ
cuesj-205	95	17	.	.	NOUN
cuesj-205	95	18	3	3	NUM
cuesj-205	95	19	,	,	PUNCT
cuesj-205	95	20	pp	pp	ADJ
cuesj-205	95	21	.	.	PUNCT
cuesj-205	96	1	372	372	NUM
cuesj-205	96	2	-	-	SYM
cuesj-205	96	3	377	377	NUM
cuesj-205	96	4	,	,	PUNCT
cuesj-205	96	5	2002	2002	NUM
cuesj-205	96	6	.	.	PUNCT
cuesj-205	97	1	14	14	NUM
cuesj-205	97	2	.	.	PUNCT
cuesj-205	98	1	r.	r.	PROPN
cuesj-205	98	2	p.	p.	PROPN
cuesj-205	98	3	kanwal	kanwal	PROPN
cuesj-205	98	4	,	,	PUNCT
cuesj-205	98	5	k.	k.	PROPN
cuesj-205	98	6	c.	c.	PROPN
cuesj-205	98	7	liu	liu	PROPN
cuesj-205	98	8	.	.	PUNCT
cuesj-205	99	1	a	a	DET
cuesj-205	99	2	taylor	taylor	PROPN
cuesj-205	99	3	expansion	expansion	NOUN
cuesj-205	99	4	approach	approach	NOUN
cuesj-205	99	5	for	for	ADP
cuesj-205	99	6	solving	solve	VERB
cuesj-205	99	7	integral	integral	ADJ
cuesj-205	99	8	equations	equation	NOUN
cuesj-205	99	9	.	.	PUNCT
cuesj-205	100	1	international	international	ADJ
cuesj-205	100	2	journal	journal	PROPN
cuesj-205	100	3	of	of	ADP
cuesj-205	100	4	mathematical	mathematical	ADJ
cuesj-205	100	5	education	education	NOUN
cuesj-205	100	6	in	in	ADP
cuesj-205	100	7	science	science	NOUN
cuesj-205	100	8	and	and	CCONJ
cuesj-205	100	9	technology	technology	NOUN
cuesj-205	100	10	,	,	PUNCT
cuesj-205	100	11	vol	vol	NOUN
cuesj-205	100	12	.	.	PROPN
cuesj-205	100	13	20	20	NUM
cuesj-205	100	14	,	,	PUNCT
cuesj-205	100	15	no	no	INTJ
cuesj-205	100	16	.	.	NOUN
cuesj-205	100	17	3	3	NUM
cuesj-205	100	18	,	,	PUNCT
cuesj-205	100	19	pp	pp	ADJ
cuesj-205	100	20	.	.	PUNCT
cuesj-205	101	1	411	411	NUM
cuesj-205	101	2	-	-	SYM
cuesj-205	101	3	414	414	NUM
cuesj-205	101	4	,	,	PUNCT
cuesj-205	101	5	1989	1989	NUM
cuesj-205	101	6	.	.	PUNCT
cuesj-205	102	1	15	15	NUM
cuesj-205	102	2	.	.	PUNCT
cuesj-205	102	3	a.	a.	PROPN
cuesj-205	102	4	j.	j.	PROPN
cuesj-205	102	5	jerry	jerry	PROPN
cuesj-205	102	6	.	.	PUNCT
cuesj-205	103	1	introduction	introduction	NOUN
cuesj-205	103	2	to	to	ADP
cuesj-205	103	3	integral	integral	ADJ
cuesj-205	103	4	equations	equation	NOUN
cuesj-205	103	5	with	with	ADP
cuesj-205	103	6	applications	application	NOUN
cuesj-205	103	7	,	,	PUNCT
cuesj-205	103	8	a	a	DET
cuesj-205	103	9	series	series	NOUN
cuesj-205	103	10	of	of	ADP
cuesj-205	103	11	monographs	monograph	NOUN
cuesj-205	103	12	and	and	CCONJ
cuesj-205	103	13	textbooks	textbook	NOUN
cuesj-205	103	14	.	.	PUNCT
cuesj-205	104	1	new	new	PROPN
cuesj-205	104	2	york	york	PROPN
cuesj-205	104	3	:	:	PUNCT
cuesj-205	104	4	marcel	marcel	PROPN
cuesj-205	104	5	dekker	dekker	PROPN
cuesj-205	104	6	,	,	PUNCT
cuesj-205	104	7	inc	inc	PROPN
cuesj-205	104	8	.	.	PROPN
cuesj-205	104	9	,	,	PUNCT
cuesj-205	104	10	1985	1985	NUM
cuesj-205	104	11	.	.	PUNCT
cuesj-205	105	1	16	16	NUM
cuesj-205	105	2	.	.	PUNCT
cuesj-205	105	3	a.	a.	PROPN
cuesj-205	105	4	m.	m.	PROPN
cuesj-205	105	5	wazwaz	wazwaz	PROPN
cuesj-205	105	6	.	.	PUNCT
cuesj-205	106	1	the	the	DET
cuesj-205	106	2	modified	modify	VERB
cuesj-205	106	3	decomposition	decomposition	NOUN
cuesj-205	106	4	method	method	NOUN
cuesj-205	106	5	for	for	ADP
cuesj-205	106	6	analytic	analytic	ADJ
cuesj-205	106	7	treatment	treatment	NOUN
cuesj-205	106	8	of	of	ADP
cuesj-205	106	9	non	non	ADJ
cuesj-205	106	10	-	-	ADJ
cuesj-205	106	11	linear	linear	ADJ
cuesj-205	106	12	integral	integral	ADJ
cuesj-205	106	13	equations	equation	NOUN
cuesj-205	106	14	and	and	CCONJ
cuesj-205	106	15	systems	system	NOUN
cuesj-205	106	16	of	of	ADP
cuesj-205	106	17	nonlinear	nonlinear	ADJ
cuesj-205	106	18	integral	integral	ADJ
cuesj-205	106	19	equations	equation	NOUN
cuesj-205	106	20	.	.	PUNCT
cuesj-205	107	1	international	international	ADJ
cuesj-205	107	2	journal	journal	PROPN
cuesj-205	107	3	of	of	ADP
cuesj-205	107	4	computer	computer	NOUN
cuesj-205	107	5	mathematics	mathematic	NOUN
cuesj-205	107	6	,	,	PUNCT
cuesj-205	107	7	vol	vol	NOUN
cuesj-205	107	8	.	.	PROPN
cuesj-205	107	9	82	82	NUM
cuesj-205	107	10	,	,	PUNCT
cuesj-205	107	11	no	no	INTJ
cuesj-205	107	12	.	.	NOUN
cuesj-205	107	13	9	9	NUM
cuesj-205	107	14	,	,	PUNCT
cuesj-205	107	15	pp	pp	ADJ
cuesj-205	107	16	.	.	PUNCT
cuesj-205	108	1	1107	1107	NUM
cuesj-205	108	2	-	-	SYM
cuesj-205	108	3	1115	1115	NUM
cuesj-205	108	4	,	,	PUNCT
cuesj-205	108	5	2005	2005	NUM
cuesj-205	108	6	.	.	PUNCT