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.
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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
Last edited by CaptainBlack; Dec 10th 2008 at 10:45 PM.
So $\displaystyle u_{2\pi}(t)(t-2\pi)+\pi$ is also $\displaystyle u_{2\pi}(t)[(t-2\pi)+\pi]$ ?
Last edited by CaptainBlack; Dec 10th 2008 at 10:47 PM. Reason: because I hit edit when I was aiming for 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
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