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What is Laplace Transform of Periodic Functions about?

The document summarizes the Laplace transform of periodic functions. It defines a periodic function as one where f(t+T)=f(t) for some period T. It then gives the formula for calculating the Laplace transform of a periodic function f(t) with period T as L[f(t)]= (1/1-e^-sT) * ∫ from 0 to T e^-st f(t) dt. As an example, it asks to find the Laplace transform of a piecewise function f(t) that is 1 for 0<=t<a, -1 for a<t<2a, and periodic with period 2a.

Author

Ainul Alam

Language

EN