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
Posted: Thu May 12, 2022 11:44 am
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