Second order non homogeneous ODE, IVP

  • #1
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Homework Statement


I need to solve:
x^2y''-4xy'+6y=x^3, x>0, y(1)=3, y'(1)=9

Homework Equations




The Attempt at a Solution


upload_2016-12-8_10-12-30.png


I know that the answer is: y=x^2+2x^3+x^3lnx
Where did I go wrong. I was wondering if it's even logical to solve it as an Euler Cauchy and then use variation of parameters...
 

Answers and Replies

  • #2
LCKurtz
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