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Find the particular solution-

I ve worked the problem to [ -2t^2 -2t] by:

-t * Integral [ 2t* te^t/ t^2e^t] + te^t * Integral [ 2t^2/ t^2e^t]

whereas the book states that it is simply -2t^2. Can you guys tell me where I made my mistake, I am stumped.