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
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

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
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