Question

find the laplace of f(t) = e^(-2t) * sin(3pi*t)

Answer 1

integral from 0 to infinity?

Answer 2

okay so F(s +2)

Answer 3

so F(s) + F(2)

Answer 4

how do i find F(s+2)

Answer 5

okay and whats the L of coskt?

Answer 6

Wait!!! Is it convolution???

Answer 7

maybe

Answer 8

apply the translation theorem

Answer 9

L(f*g) = F(s)G(s) :S
^Convolution

Answer 10

L[f1(t)*f2(t)] = L [f1(t)] L [f2(t)]
so just find L[e^{-2t}] and L[sin(3pi*t)]
and multiply them