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## Homework Statement

I am trying to solve the following:

y'''-9y'=54x-9-20e^2x with y(0)=8, y'(0)=5, y''(0)=38

## Homework Equations

## The Attempt at a Solution

The right answer is:

y= 2+2e^3x+2e^(-3x)-3x^2+x+2e^2x

I am only wrong on the coefficients C2 and C3. Where did I mess up in my solution?