Applying Partial Fractions to Solve Laplace Transform Convolution

[redundant6939]

Homework Statement

x(t) = cos(3πt)
h(t) = e^-2tu(t)

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

Homework Equations

Y(s) = X(s)H(s) and then take inverse laplace tranform of Y(s)

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..

 

[BvU]

What about u(t) ?

 

[LCKurtz]

Homework Statement

x(t) = cos(3πt)
h(t) = e^-2tu(t)

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

Homework Equations

Y(s) = X(s)H(s) and then take inverse laplace tranform of Y(s)

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..

Show us your partial fractions work. It shouldn't be all that hard.