Edit Let f satisfy f(t+T) = f(t) for all t > 0 and for some fixed positive number T; f is said to be periodic with perio

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Edit Let F Satisfy F T T F T For All T 0 And For Some Fixed Positive Number T F Is Said To Be Periodic With Perio 1 (110.82 KiB) Viewed 15 times

Edit Let f satisfy f(t+T) = f(t) for all t > 0 and for some fixed positive number T; f is said to be periodic with period T on 0 <t< 0. Then, the Laplace transform of f(t) is given by 7 T 1 L{f(t)} = 1- e-sT f e-st f(t) dt. e Use this fact to find the Laplace transform of the given function. f(t) = 1, 0 <t< 2 -1, 2 <t<4 f(t + 4) = f(t) = -2s 1-e L{f(t)} = s (1 - e-45) = X