Transforms and its Applications: UNIT 1: Laplace Transforms

Laplace Transform of Periodic Functions

Laplace Transforms: Example Important Solved Problems with formula, steps, derivation and answer based on Laplace Transform of Periodic Functions. Definition of Laplace Transform of Periodic Functions.

LAPLACE TRANSFORM OF PERIODIC FUNCTIONS

 

Define periodic function and state its Laplace transform formula.

Definition: Periodice

 A function f(x) is said to be "periodic", if and only if f(x + p) = f(x) is true for some value of p and every value of x. The smallest positive value of p for which this equation is true for every value of x will be called the period of the function.

The Laplace Transformation of a periodic function f(t) with period is given by


 

PROBLEMS BASED ON LAPLACE TRANSFORM OF PERIODIC FUNCTIONS

 

Example 1(a): Find the Laplace transform of the rectangular wave given by








Transforms and its Applications: UNIT 1: Laplace Transforms : Tag: Engineering mathematics, Maths : - Laplace Transform of Periodic Functions


Transforms and its Applications: UNIT 1: Laplace Transforms



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