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 #6# given by \[f(t)=\begin{cases}4 &\text{if }\ 0\le t \lt 3\\ -4 &\text{if }\ 3\le t\lt 6\end{cases}\]
Give your answer as a function of #s# for #s\gt 0#.
| #\laplace{(f)}(s) = # |
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