The Laplace transformation of any function may contain the ratio of two polynomials in s-domain i.e.
where Q(s) is of a higher degree than P(s).
Therefore, the expansion of quotient into the sum of several fraction is required to obtain inverse transforms.
The application of partial fraction expansion method and another method popularly known as Heaviside expansion theorem is discussed here.
Equation (4.45) can be written as
Let us consider an example
Factorizing the denominator ...