Laplace Transform

**petition Edgecombe** · December 10th 2008, 07:15 PM

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

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

**CaptainBlack** · December 10th 2008, 08:42 PM

Originally Posted by petition Edgecombe

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

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

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

CB

**petition Edgecombe** · December 10th 2008, 09:30 PM

So $u_{2\pi}(t)(t-2\pi)+\pi$ is also $u_{2\pi}(t)[(t-2\pi)+\pi]$ ?

**CaptainBlack** · December 10th 2008, 10:46 PM

Originally Posted by petition Edgecombe

So $u_{2\pi}(t)(t-2\pi)+\pi$ is also $u_{2\pi}(t)[(t-2\pi)+\pi]$ ?

Sorry that is what I meant, missed the brackets.

CB

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