Laplace Transform of Periodic Function

Laplace Transform of Periodic FunctionBy Dhaval Shukla141080119050Mechanical Department3rd SemesterGroup No. 10Advanced Engineering Mathematics (2130002)

Laplace Transform of Periodic FunctionDefinition: A function f(t) is said to be periodic function with period p(> 0) if f(t+p)=f(t) for all t>0.Theorem 1: Transform of Periodic FunctionsThe Laplace transform of a piecewise continuous periodic function f(t) with period p is

Laplace Transform of Periodic FunctionWe have

Laplace Transform of Periodic FunctionPut t=u+p in the second integral,

Laplace Transform of Periodic Function

Laplace Transform of Periodic Function

Here is a video defining Laplace Transform of a Periodic Function

Laplace Transform of Periodic Function

Laplace Transform of Periodic Function

Laplace Transform of Periodic Function