Consider the LTI system having impulse response

$h(t)=5e^{-2t}u(t)$

Use the convolution property of the Fourier transform to find the system output $y(t)$ for each of the following input signals.

$($a$)e^{-3t}u(t)$

$($b$)e^{-2t}u(t)$

$($c$)1+cos(\frac{t}{2})$