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## Homework Statement

Consider the differential equation:

y''+10y'+25y= f(x)

Find a particular solution if f(x) = 32xe^(-x)

## Homework Equations

I already did the general solution when f(x)=0 and that is Ae^(-5x) + Bxe^(-5x)

## The Attempt at a Solution

I tried yp=axe^(-x) and got a= 4x+2 which is wrong

The answer is (2x-1)e^(-x)

does anyone know what particular solution i can try in order to get the answer?

Thanks