LaPlace transform using convolution?

Question

If L(y)= y''- 4y' + 13y = e^(2x)sin(3x) with y(0)=5 and y'(0)=9. Find a formula for y using convolution. I searched other questions but couldn't find one exactly like this one. Any help is appreciated

Answer 1

This table should help you out

http://www.vibrationdata.com/Laplace.htm

Answer 2

Dont know what your asking, but dont you just take the Laplace of both sides and use the initial conditions. then solve for Y(s) and take the inv Laplace

Answer 3

Well, if you're gonna graduate and especially if you go to work in industry, they are not going to ask you to solve problems that already have a solution. Find something similar and walk through it.

Answer 4

your on the right track now let the inverse transform of 1/s^2 = f(t)=t (if i remember correctly) and let L^-1[1/((s-1)^+11)] = g(t) plugging f(t) and g(t) in to the integral gives h(t)=int(1/(t-r)^2*re^(r)sinrdr) and solve