ABSTRACT
In many applications such as initial value problems often the periodic forcing functions i.e. periodic non-homogeneous part may not be analytical. Such forcing functions are not continuous and differential every where in the domain of definition. Rectangular or square waves, triangular waves, saw tooth waves, etc. are a few examples. In such cases solutions of the initial value problems may be difficult to obtain. Fourier series provides means of approximate representation of such functions that are continuous and differentiable everywhere in the domain of definitions, hence are meritorious in the solutions of the IVPs.
