1. The problem statement, all variables and given/known data Solve for the solution of the differential equation and use the method of variation of parameters. x`` - x = (e^t) + t 2. Relevant equations W= (y2`y1)-(y2y1`) v1 = integral of ( g(t) (y1) ) / W v2 = integral of ( g(t) (y2) ) / W 3. The attempt at a solution yc= c1 e^t + c2 e^-t yp = v1 e^t + v2 e^-t W= -2 v1 = integral of ((e^-t)(e^t + t)) / -2 = (1/2) (t - te^-t - e^-t) v2 = integral of ((e^2t)(e^t + t)) / -2 = (1/2) (1/2 e^2t + te^t - e^t) v1y1 = 1/2 te^t - 1/2 t - 1/2 v2y2 = 1/4 e^t - 1/2t + 1/2 adding these, yp = -t + 1/2 te^t + 1/4 e^t yc + yp = (c1 e^t + c2 e^-t ) + (-t + 1/2 te^t + 1/4 e^t) but the answer is (c1 e^t + c2 e^-t ) + (-t + 1/2 te^t) I got an extra term. Where did I go wrong? Thank you!