Laplace transform - Dirac delta

[magnifik]

i need help trying to find the laplace transform of te^-t$$\delta$$(t)

i know the laplace transform of te^-t is 1/(s+1)² but i don't know how to find the laplace transform of a product with the Dirac delta

 

[fzero]

You should actually set up the integral expression for the Laplace transform and use the properties of the delta function. It looks like it gives zero, but you should check it out.