# Math Help - Laplace transform of a product of functions

1. ## Laplace transform of a product of functions

Use the "Table of Laplace transforms" to find the Laplace transform of the function. A preliminary integration by parts may be necessary.

$f(t)=te^t$

2. ## Re: Laplace transform of a product of functions

Originally Posted by alexmahone
Use the "Table of Laplace transforms" to find the Laplace transform of the function. A preliminary integration by parts may be necessary.

$f(t)=te^t$
In this particular case if $\mathcad{L} \{f(t)\} = F(s)$, then $\mathcad{L} \{t\ f(t)\} = - \frac{d}{d s} F(s)$. The more general case $\mathcad{L} \{f(t)\ g(t)\}$ requires the solution of an integral in the complex plane...

Kind regards

$\chi$ $\sigma$