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Let yty + 0.1y³ and y(0) = 1.1. 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. t y(t) 0.5 1 1.5 2 2.5 3 1.043536 0.754167 0.408534 0.166516 0.051217 0.011835

Let yty + 0.1y³ and y(0) = 1.1. 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. t y(t) 0.5 1 1.5 2 2.5 3 1.043536 0.754167 0.408534 0.166516 0.051217 0.011835

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 + 0.1y³ 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
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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