Use Definition 7.1.1. Definition 7.1.1 Laplace Transform▲ f(t) = −1, 0 <= t < 1 1, t >= 1 Complete the integral(s) that defines ℒ{f(t)}. ℒ{f(t)} = 0 dt + \infty dt Find ℒ{f(t)}. (Write your answer as a function of s.) ℒ{f(t)} =
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\[ f(t) = \begin{cases} -1 & \text{if } 0 \leq t < 1 \\ 1 & \text{if } t \geq 1 \end{cases} \] Show more…
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