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

[tex]y'' - 2y' - 3y = -3te^{-t}[/tex]

Solve

2. Relevant equations

3. The attempt at a solution

Well first I tried

[tex]Y(t) = Ate^{-t}[/tex]

then

[tex]Y(t) = At^2e^{-t}[/tex]

then

[tex]Y(t) = At^3e^{-t}[/tex]

and

[tex]Y(t) = At^3e^{-t} + Bt^2e^{-t}[/tex]

but I can't seem to get the correct form.

Does anyone know what form I need my Y(t) in order to solve this?

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# Homework Help: Nonhomogenous Second Order DE

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