Differential equations and Laplace transforms
Laplace transforms of periodic functions
Compute the Laplace transform of the periodic function #f# on #\ivco{0}{\infty}# with period #4# given by \[f(t)=\begin{cases}9 &\text{if }\ 0\le t \lt 2\\ -9 &\text{if }\ 2\le t\lt 4\end{cases}\]
Give your answer as a function of #s# for #s\gt 0#.
| #\laplace{(f)}(s) = # |
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