ODE_Euler.xls

	A	B	C	D	K	L	M	N	P	Q	R	S	U	V	W	X
1	Example of Euler's Method
2		a	0			h	0.5			h	0.25			h	0.1
3		b	4
4		Itrue	21.333
5
6	S. No.	x	y = f (x)	y' = f '(x)	S. No.	x	Slope estimate φ	y = f (x)	S. No.	x	Slope estimate φ	y = f (x)	S. No.	x	Slope estimate φ	y = f (x)
7	1	0	1	8.5	1	0	8.5	1	1	0	8.5	1	1	0	8.5	1
8	2	0.2	2.3312	4.964	2	0.5	1.25	5.25	2	0.25	4.21875	3.125	2	0.1	6.618	1.85
9	3	0.4	3.0432	2.292	3	1	-1.5	5.875	3	0.5	1.25	4.1796875	3	0.2	4.964	2.5118
10	4	0.6	3.2992	0.388	4	1.5	-1.25	5.125	4	0.75	-0.59375	4.4921875	4	0.3	3.526	3.0082
11	5	0.8	3.2432	-0.844	5	2	0.5	4.5	5	1	-1.5	4.34375	5	0.4	2.292	3.3608
12	6	1	3	-1.5	6	2.5	2.25	4.75	6	1.25	-1.65625	3.96875	6	0.5	1.25	3.59
13	7	1.2	2.6752	-1.676	7	3	2.5	5.875	7	1.5	-1.25	3.5546875	7	0.6	0.388	3.715
14	8	1.4	2.3552	-1.468	8	3.5	-0.25	7.125	8	1.75	-0.46875	3.2421875	8	0.7	-0.306	3.7538
15	9	1.6	2.1072	-0.972	9	4	-7.5	7	9	2	0.5	3.125	9	0.8	-0.844	3.7232
16	10	1.8	1.9792	-0.284	10				10	2.25	1.46875	3.25	10	0.9	-1.238	3.6388
17	11	2	2	0.5	11				11	2.5	2.25	3.6171875	11	1	-1.5	3.515
18	12	2.2	2.1792	1.284	12				12	2.75	2.65625	4.1796875	12	1.1	-1.642	3.365
19	13	2.4	2.5072	1.972	13				13	3	2.5	4.84375	13	1.2	-1.676	3.2008
20	14	2.6	2.9552	2.468	14				14	3.25	1.59375	5.46875	14	1.3	-1.614	3.0332
21	15	2.8	3.4752	2.676	15				15	3.5	-0.25	5.8671875	15	1.4	-1.468	2.8718
22	16	3	4	2.5	16				16	3.75	-3.21875	5.8046875	16	1.5	-1.25	2.725
23	17	3.2	4.4432	1.844	17				17	4	-7.5	5	17	1.6	-0.972	2.6
24	18	3.4	4.6992	0.612	18				18				18	1.7	-0.646	2.5028
25	19	3.6	4.6432	-1.292	19				19				19	1.8	-0.284	2.4382
26	20	3.8	4.1312	-3.964	20				20				20	1.9	0.102	2.4098
27	21	4	3	-7.5	21				21				21	2	0.5	2.42
28													22	2.1	0.898	2.47
29													23	2.2	1.284	2.5598
30													24	2.3	1.646	2.6882
31													25	2.4	1.972	2.8528
32													26	2.5	2.25	3.05
33													27	2.6	2.468	3.275
34													28	2.7	2.614	3.5218
35													29	2.8	2.676	3.7832
36													30	2.9	2.642	4.0508
37													31	3	2.5	4.315
38													32	3.1	2.238	4.565
39													33	3.2	1.844	4.7888
40													34	3.3	1.306	4.9732
41													35	3.4	0.612	5.1038
42													36	3.5	-0.25	5.165
43													37	3.6	-1.292	5.14
44													38	3.7	-2.526	5.0108
45													39	3.8	-3.964	4.7582
46													40	3.9	-5.618	4.3618
47													41	4	-7.5	3.8
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