Laplace transform question.

1. May 20, 2010

thepatient

1. The problem statement, all variables and given/known data
So I finally had my final today, and I was so worried because I needed a 90% at least to pass the class with an A. :\ So I'm really worried with a few of my answers.

One of those (that I can remember) was the laplace transform of: t(sinh(3t).

2. Relevant equations

laplace t = 1/s^2
Definition of: sinh(3t) = 1/2 (e^3t - e^-3t), I think.

3. The attempt at a solution

So I had no idea how to do this, since it wasn't in the table. XD What I did was multiply t by 1/2 (e^3x-e^-3x), then used the laplace of each one seperately. Something like:

1/2* (1/(s-3)^2 - 1/(s+3)^2, or something like that. Was this the correct way to do this?

Last edited: May 20, 2010
2. May 20, 2010

thepatient

Omg as I typed that last post I received my grade for the final by email. I got a 99%. :D I'm so excited woooo. :D :D :D That was so fast we just did the final this morning...