Derivative Problem

  • Thread starter temaire
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  • #1
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Homework Statement


Find the constants A, B, and C such that the function [tex]y=Ax^{2}+Bx+C[/tex] satisfies the differential equation [tex]y^{''}+y^{'}-2y=x^{2}[/tex].



The Attempt at a Solution


I know that [tex]y^{''}+y^{'}-2Ax^{2}-2Bx-2C=x^{2}[/tex] and that [tex]y^{'}=2Ax+B[/tex] and [tex]y^{''}=2A[/tex], but I'm really stuck at this point. Any help would be appreciated.
 

Answers and Replies

  • #2
lanedance
Homework Helper
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almost there, substitute in for y & y'

each power of x will give you an equation that must be solved for the solution to satisfy teh differential equation

eg. the co-efficients of x^1 must add up to zero
 

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