(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The problem is: y" + 2y' - 3y = x^2*e^x

2. Relevant equations

3. The attempt at a solution

I know the roots are y1 = -3 and y2 = 1, becoming e^x.

I'm not sure how to set my yp up though with the repeating e^x.

My ideas are yp = x * (x^2*A*e^x) or x * (Ax^2 + Bx + C)e^x.

I was also curious on the setup of a problem where yp = P(x)*e^ax* cos(bx).

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# Homework Help: Undetermined Coefficient with repeated roots

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