# Laplace transform convolution

1. Nov 10, 2014

### redundant6939

1. The problem statement, all variables and given/known data
$x(t) = cos(3πt)$
$h(t) = e-2tu(t)$

Find $y(t) = x(t) * h(t)$(ie convolution)

2. Relevant equations
Y(s) = X(s)H(s) and then take inverse laplace tranform of Y(s)

3. The attempt at a solution
$L(x(t)) = \frac{s}{s^2+9π^2}$
$L(h(t)) = \frac{1}{s+2}$

I then try to find the partial fractions but it looks more complicated than it should be..

2. Nov 10, 2014