Thread: Laplace transformation

Hi,

I'm trying to Laplace transform this function:





But I don't manage to get it right, the f'(u) within the integral makes me confused. Would really appreciate your help![FONT='Lucida Grande', 'Trebuchet MS', Verdana, Helvetica, Arial, sans-serif]
[/FONT]

Originally Posted by hampos

Hi,

I'm trying to Laplace transform this function:





But I don't manage to get it right, the f'(u) within the integral makes me confused. Would really appreciate your help![FONT='Lucida Grande', 'Trebuchet MS', Verdana, Helvetica, Arial, sans-serif]
[/FONT]

Split it into two laplace transforms (one for the integral, one for the cosine function). The first is a convolution, and you make use of the fact that .