The Laplace Transform
In this chapter we introduce the Laplace1 transform and show how to use it to solve differential equations of the kind discussed in Chapters 5 and 6—linear differential equations with constant coefficients. The Laplace transform really shines when a nonhomogeneous constant coefficients initial value problem must be solved. The Laplace transform package LaplaceTransform.m provided in Mathematica is full-featured and easy to use. If you have a nonhomogeneous constant coefficients initial value problem to solve, the LaplaceTransform.m package should do it very effectively.
KeywordsLaplace Transform Mathematical Induction Piecewise Continuous Function Unit Step Function Inverse Laplace Transform
Unable to display preview. Download preview PDF.