Question

***Differential Equations*** Im trying to do the Laplace of tcos(t). In order to avoid the integral I changed to exponential. .5t[e^(t) + e^(-t)]= .5 Laplace { te^(t) + te^(-t) } which should euqal .5 [1/(s+1)^2 + 1/(s-1)^2 ]. Why is this wrong? correct answer is (s^2)-1/(1+s^2)^2