- #1

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## Homework Statement

[itex]x(t) = cos(3πt)[/itex]

[itex]h(t) = e

^{-2t}u(t)[/itex]

Find [itex]y(t) = x(t) * h(t) [/itex](ie convolution)

## Homework Equations

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

## The Attempt at a Solution

[itex] L(x(t)) = \frac{s}{s^2+9π^2} [/itex]

[itex] L(h(t)) = \frac{1}{s+2} [/itex]

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