# Laplace Transform

• Dec 10th 2008, 07:15 PM
petition Edgecombe
Laplace Transform
I'm having trouble with the Laplace transform of this function: $\displaystyle u_\pi(t)(t-\pi)-u_{2\pi}(t)(t-\pi)$

For the first term I have $\displaystyle \frac{e^{-\pi s}}{s^2}$, but I can't do the second term.
• Dec 10th 2008, 08:42 PM
CaptainBlack
Quote:

Originally Posted by petition Edgecombe
I'm having trouble with the Laplace transform of this function: $\displaystyle u_\pi(t)(t-\pi)-u_{2\pi}(t)(t-\pi)$

For the first term I have $\displaystyle \frac{e^{-\pi s}}{s^2}$, but I can't do the second term.

$\displaystyle u_{2\pi}(t)(t-\pi)=u_{2\pi}(t)[(t-2\pi)+\pi]$

CB
• Dec 10th 2008, 09:30 PM
petition Edgecombe
So $\displaystyle u_{2\pi}(t)(t-2\pi)+\pi$ is also $\displaystyle u_{2\pi}(t)[(t-2\pi)+\pi]$ ?
• Dec 10th 2008, 10:46 PM
CaptainBlack
Quote:

Originally Posted by petition Edgecombe
So $\displaystyle u_{2\pi}(t)(t-2\pi)+\pi$ is also $\displaystyle u_{2\pi}(t)[(t-2\pi)+\pi]$ ?

Sorry that is what I meant, missed the brackets.

CB