Analytical solutions of some general classes of differential and integral equations by using the Laplace and Fourier transforms

Abstract

This article deals with a general class of differential
equations and two general classes of integral equations.
By using the Laplace transform and the Fourier transform, analytical
solutions are derived for each of
these classes of differential and integral equations.
Some illustrative examples and particular cases
are also considered. The various analytical solutions
presented in this article are potentially useful in
solving the corresponding simpler differential and integral
equations.