ABSTRACT
In sections 4.3 and 4.4 we showed how to solve homogeneous and nonhomogeneous linear differential equations with constant coefficients and in section 4.5 we showed how to solve initial value problems in which the differential equations were homogeneous or nonhomogeneous linear differential equations with constant coefficients. The technique consisted of finding the general solution of the differential equation and then choosing the constants in the general solution to satisfy the specified initial conditions. In this chapter, we present the Laplace transform method for solving homogeneous and nonhomogeneous linear differential equations with constant coefficients and their corresponding initial value problems. We begin by examining the Laplace transform and its properties.
