Let yty + 0.1y³ and y(0) = 0.70. Use Euler's method to find approximate values of the solution of the given initial value problem att = 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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let y'
ty + 0.1y³ and y(0) = 0.70.
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.
1
y(t)
0.5
1
1.5
2
Correct.
2.5
3
0.640031
0.449640
0.240540
0.097735
0.030047
0.006943
Transcribed Image Text:Let y' ty + 0.1y³ and y(0) = 0.70. 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. 1 y(t) 0.5 1 1.5 2 Correct. 2.5 3 0.640031 0.449640 0.240540 0.097735 0.030047 0.006943
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