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A particular solution of x²y'- x(x + 2)y' + (x + 2)y=2x³, x>0, y₁(x)=x, V₂(x) = xex

A particular solution of x²y'- x(x + 2)y' + (x + 2)y=2x³, x>0, y₁(x)=x, V₂(x) = xex

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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Find a particular solution (yp(x)) for the given image. Please show steps. 

 

Example of a particular solution for reference: 

 A particular solution of y'' + 2y = 18, would be yp(x) = 9

A particular solution of x²y' - x(x + 2)y' + (x + 2)y=2x³, x>0, y₁(x)=x, y₂(x)= xex
Transcribed Image Text:A particular solution of x²y' - x(x + 2)y' + (x + 2)y=2x³, x>0, y₁(x)=x, y₂(x)= xex
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