Solve the following problem for one step: dy dx = y + x² y(0)=1, 0≤x≤2, h=2 a) Use Euler's method to find y(2). b) Use Heun's method to find y(2).

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter2: Basic Linear Algebra
Section: Chapter Questions
Problem 15RP
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Solve the following problem for one step:
dy
dx
=y+x²
a) Use Euler's method to find y(2).
b) Use Heun's method to find y(2).
y(0)=1,
0≤x≤2, h=2
Transcribed Image Text:Solve the following problem for one step: dy dx =y+x² a) Use Euler's method to find y(2). b) Use Heun's method to find y(2). y(0)=1, 0≤x≤2, h=2
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