ABSTRACT

The Laplace transform is a very powerful mathematical tool applied in various areas of engineering and science. With the increasing complexity of engineering problems, Laplace transforms help in solving complex problems with a very simple approach; the transform is an integral transform method which is particularly useful in solving linear ordinary differential equations. It has very wide applications in various areas of physics, electrical engineering, control engineering, optics, mathematics and signal processing. The chapter utilizes a standard list of Laplace transforms to determine the transform of common functions. The solution of most electrical circuit problems can be reduced ultimately to the solution of differential equations.