題組內容
5. (12%) For the differential equation y''(t) + y(t) = r(t) where $$r(t) = \begin{cases} 1, & 0 < t < 1 \\ 0, & \text{otherwise}, \end{cases}$$
(1) \( (6\%) \) find the Laplace transform of \( r(t) \)
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5. (12%) For the differential equation y''(t) + y(t) = r(t) where $$r(t) = \begin{cases} 1, & 0 < t < 1 \\ 0, & \text{otherwise}, \end{cases}$$
(1) \( (6\%) \) find the Laplace transform of \( r(t) \)