ABSTRACT
In this chapter, the authors present the Laplace transform method for solving homogeneous and nonhomogeneous linear differential equations with constant coefficients and their corresponding initial value problems. They begin by examining the Laplace transform and its properties. Algorithms for calculating the Laplace transform and the inverse Laplace transform are often included in computer algebra systems (CAS). To manually calculate the inverse Laplace transform often requires using partial fraction expansion and the use of a table of Laplace transforms. The Laplace transform method for solving n-th order linear initial value problems in which the differential equation is homogeneous or nonhomogeneous is a three-step process.
