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Preliminaries

·
STEP 1






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(1.1) |
(1.2) |
(1.3) |
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(1.4) |
(1.5) |
(1.6) |
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(1.7) |
(1.8) |
(1.9) |
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(1.10) |
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STEP 2




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(2.1) |
(2.2) |
(2.3) |
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(2.4) |
(2.5) |
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·
STEP 3



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(3.1)) |
(3.2) |
(3.3) |
·
STEP 4

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(4.1) |
(4.2) |
(4.3) |
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(4.4) |
(4.5) |
(4.6) |
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(4.7) |
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STEP 5

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(5.1) |
(5.2) |
(5.3) |
·
STEP 6


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(6.1) |
(6.2) |
(6.3) |
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(6.4) |
(6.5) |
(6.6) |
·
STEP 7



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·
STEP 8

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t |
-2 |
-1.5 |
0 |
1 |
1.5 |
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(1) (Exact) |
y1 |
-6.7037860 |
-0.8899551 |
0.4252398 |
1.2515292 |
6.9446615 |
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(2) (diftol
0.001) |
y1 |
-6.6854140 |
-0.8897199 |
0.4253794 |
1.2508301 |
6.9080288 |
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(3) (diftol
0.000001) |
y1 |
-6.7037680 |
-0.8899549 |
0.4252399 |
1.2515286 |
6.9446282 |
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(4) (Euler Dt=±0.05) |
y1 |
-4.5581680 |
-0.8313401 |
0.4580788 |
1.2775927 |
5.2016950 |
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(5) (Euler Dt=±0.01) |
y1 |
-6.0275130 |
-0.8774928 |
0.4317799 |
1.2560232 |
6.3943029 |
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(6) (Euler Dt=±0.001) |
y1 |
-6.6250270 |
-0.8886902 |
0.4258931 |
1.2519610 |
6.8808394 |

·
STEP 9
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(9.1) |
(9.2) |
(9.3) |
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(9.4) |
(9.5) |
(9.6) |
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(9.7) |
(9.8) |
(9.9) |
·
STEP 10


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(10.1) |
(10.2) |
(10.3) |
·
STEP 11


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(11.1) |
(11.2) |
(11.3) |
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(11.4) |
(11.5) |
(11.6) |
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(11.7) |
(11.8) |
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STEP 12

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(12.1) |
(12.2) |
(12.3) |
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(12.4) |
(12.5) |
(12.6) |
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(12.7) |
(12.8) |
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·
STEP 13




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(13.1) |
(13.2) |
(13.3) |
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(13.4) |
(13.5) |
(13.6) |
·
STEP 14





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(14.1) |
(14.2) |
(14.3) |
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(14.4) |
(14.5) |
(14.6) |
·
STEP 15


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STEP 16

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(16.1) |
(16.2) |
(16.3) |
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(16.4) |
(16.5) |
(16.6) |
·
STEP 17

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(17.1) |
(17.2) |
(17.3) |
·
STEP 18



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(18.1) |
(18.2) |
(18.3) |
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STEP 19
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(19.1) |
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STEP 20
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(20.1) |
(20.2) |
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STEP 21
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(21.1) |
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Department of Mathematics and Statistics |