# Second order non homogeneous ODE, IVP

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1. Dec 8, 2016

### Cocoleia

1. The problem statement, all variables and given/known data
I need to solve:
x^2y''-4xy'+6y=x^3, x>0, y(1)=3, y'(1)=9

2. Relevant equations

3. The attempt at a solution

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...

2. Dec 8, 2016

### LCKurtz

Last edited: Dec 8, 2016