ABSTRACT

The Laplace transform method is used extensively [1-3] to facilitate and systematize the solution of ordinary constant-coefficient differential equations. The advantages of this transform method for the analysis of linear time-invariant (LTI) systems are the following:

1. It includes the boundary or initial conditions. 2. The work involved in the solution is simple algebra. 3. The work is systematized. 4. The use of a table of transforms reduces the labor required. 5. Discontinuous inputs can be treated. 6. The transient and steady-state components of the solution are obtained simultaneously.