Let y = - ty + 0.ly and y(0) = 0.72. 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. y(1)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let y = - ty + 0.1y and y(0) = 0.72.
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(1)
0.5
i
1
i
1.5
i
2
i
2.5
i
3
i
Transcribed Image Text:Let y = - ty + 0.1y and y(0) = 0.72. 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(1) 0.5 i 1 i 1.5 i 2 i 2.5 i 3 i
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