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

Solve the given differential equation using the annihilator method:

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

2. Relevant equations

D=dy/dx

3. The attempt at a solution

I think the annihilator would be (D-1)^3.

so the solution would be in the form:

y = Ae^x + Bxe^x + C(x^2)e^x + De^(3x) +Ee^(-2x)

Solving for the particular solution yields:

Ae^x+Bxe^x+C(x^2)e^x = (x^2)(e^x)

Am I solving this correctly, and if so, where do I go from here?

Thanks a bunch,

John

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Annihilator Method Problem

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