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Use Euler's method to approximate the solution to the following Example initial-value problem. ( y'(t) = y – t² +1, 0

Use Euler's method to approximate the solution to the following Example initial-value problem. ( y'(t) = y – t² +1, 0

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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Use Euler's method to approximate the solution to the following Example initial-value problem. S y (t) = y – t² +1, 0<t<2 y(0) = 0.5 with h = 0.5 The actual solution of the initial-value problem is y = (t + 1)² – 0.5e*. Find a bounds for the approximation error and compare these to the actual error.
Transcribed Image Text:Use Euler's method to approximate the solution to the following Example initial-value problem. S y (t) = y – t² +1, 0<t<2 y(0) = 0.5 with h = 0.5 The actual solution of the initial-value problem is y = (t + 1)² – 0.5e*. Find a bounds for the approximation error and compare these to the actual error.
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