- #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

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...