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i know that that the general solution to this problem is

yh = c1e^3t + c2e^-t

i am having trouble figuring out what the particular solution is (yp)

i keep getting the yp = 3/4te^-t , but wolfram alpha is telling me that the answer is something else.

how do i get the right particular solution. i am using the form (at+b)e^-t.