# Convolution Laplace Transform

1. Dec 8, 2004

### netapparition

Can anyone get me started with the following transforms using convolution theory?

L^-1 {1 / (s^2+k^2)^2}

and

L^-1 {8 / (s^2+1)^3}

Any help would be greatly appreciated

CA

Casanovamp@yahoo.com

2. Dec 8, 2004

### ReyChiquito

if $$\tilde{f}$$ denotes the Laplace transform

$$\widetilde{f * g}(s)=\tilde{f}(s)\tilde{g}(s)$$

use this with known inverse Laplace transforms.

You can check your results using partial fractions also.

Last edited: Dec 8, 2004