Consider the initial value problem y' = 0.4xy + y s.t y(1) = 1 Use Euler's method to obtain an approximation of y(2) using the step values a. h = 0.1 b. h = 0.05 Compare the approximate and actual values by finding the error at each step (include both Absolute and % relative errors in your table) then Sketch the solution. (You can use any computer software)

C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter1: Fundamentals Of C++ Programming
Section1.1: Preliminary One: Unit Analysis
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Consider the initial value problem
y' = 0.4xy + y
s.t y(1) = 1
Use Euler's method to obtain an approximation of y(2) using the step values
a.
h = 0.1
b.
h = 0.05
Compare the approximate and actual values by finding the error at each step (include both
Absolute and % relative errors in your table) then Sketch the solution. (You can use any
computer software)
Transcribed Image Text:Problem Consider the initial value problem y' = 0.4xy + y s.t y(1) = 1 Use Euler's method to obtain an approximation of y(2) using the step values a. h = 0.1 b. h = 0.05 Compare the approximate and actual values by finding the error at each step (include both Absolute and % relative errors in your table) then Sketch the solution. (You can use any computer software)
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