Differential Equation Undetermined Coefficients: y'' + 2y' + y = xe^(-x)

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Differential Equation Undetermined Coefficients: y'' + 2y' + y = xe^(-x)
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Hi, how are you. I was wondering if, using the nullifier method, one should also multiply by x or if yp is already defined by this method without the need for that.

luisrendon