I was wondering if one was easier than the other or if it is situational.

Original problem was: y'' + 4y' + 5y = 39e^(t)sint and y(0) =-1 and y'(0) = -1

I took the LT resulting: . I was wondering about the denominator, since I could set it as . And then I would have to multiply that by . Would it be easier to do it as [(s-1)^2 +1]*[ - s -5 ]