Inverse Laplace Transform through Convolution

**timh** · May 3rd 2010, 07:15 PM

Hi, guys.
Please I need help for this inverse Laplace transform, the method requested is convolution.

$L^{-1}\left\{{\displaystyle\frac{s}{(s^2 + 4)^2}}\right\}$

**Chris L T521** · May 3rd 2010, 08:41 PM

Originally Posted by timh

Hi, guys.
Please I need help for this inverse Laplace transform, the method requested is convolution.

$L^{-1}\left\{{\displaystyle\frac{s}{(s^2 + 4)^2}}\right\}$

$\mathcal{L}^{-1}\left\{\frac{s}{(s^2+4)^2}\right\}=\cos(2t)*\tfr ac{1}{2}\sin(2t)$ .

Can you carry out the convolution process?

**timh** · May 4th 2010, 07:32 AM

In the process of convolution is where I have problems because at eval the integral from 0 at t, the value becomes 0. I integrate by parts.

Greets.

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