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Let y'= -ty + 0.1y³ and y(0) = 1.8. Use Euler's method to find approximate values of the solution of the given initial value problem at r=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 2.5

Let y'= -ty + 0.1y³ and y(0) = 1.8. Use Euler's method to find approximate values of the solution of the given initial value problem at r=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 2.5

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let y'= -ty+0.ly' and y(0) = 1.8. 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(r) 0.5 1 1.5 2 2.5 3 i
Transcribed Image Text:Let y'= -ty+0.ly' and y(0) = 1.8. 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(r) 0.5 1 1.5 2 2.5 3 i
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