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in Differential equations by (20 points)
\begin{tabular}{l|l} (i) & \( \left.\begin{array}{l}\text { Determine the Laplace Transform of the } \\ \text { "triangular wave" function } f ( t ) \text { whose } \\ \text { graph is } \quad f(t)=\left\{\begin{array}{c}t, 0<t<a \\ 2 a-t, a<t<2 a\end{array}\right.\end{array}\right\} \) \\ and \( f(t+2 a)=f(t) . \) \end{tabular}

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