Consider the initial-value problem: y' =y-x, y(0) = 1²/12 Use Euler's method with h= 0.1 to compute y₁ys, calculate error. Given that the exact solution to the initial-value problem is y(x) = x + 1 - 1 / ex

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 33CR
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Consider the initial-value problem:
y' =y-x, y(0) = 1²/12
Use Euler's method with h= 0.1 to compute y₁ys, calculate error.
Given that the exact solution to the initial-value problem is
y(x) = x + 1 - 1 / ex
Transcribed Image Text:Consider the initial-value problem: y' =y-x, y(0) = 1²/12 Use Euler's method with h= 0.1 to compute y₁ys, calculate error. Given that the exact solution to the initial-value problem is y(x) = x + 1 - 1 / ex
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