Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Let y'= - ty + 0.1y³ and y(0) = 1.1.
Use Euler's method to find approximate values of the solution of the given initial value problem at t = 0.5, 1, 1.5, 2, 2.5, and 3 with
h = 0.05.
Carry out all calculations exactly and round the final answers to six decimal places.
t
y(t)
0.5
1
1.5
2
2.5
3
1.043536
0.754167
0.408534
0.166516
0.051217
0.011835
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Transcribed Image Text:Let y'= - ty + 0.1y³ and y(0) = 1.1. Use Euler's method to find approximate values of the solution of the given initial value problem at t = 0.5, 1, 1.5, 2, 2.5, and 3 with h = 0.05. Carry out all calculations exactly and round the final answers to six decimal places. t y(t) 0.5 1 1.5 2 2.5 3 1.043536 0.754167 0.408534 0.166516 0.051217 0.011835
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