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The Laplace Transform

  • Clay C. Ross
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

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.

Keywords

Laplace Transform Mathematical Induction Piecewise Continuous Function Unit Step Function Inverse Laplace Transform 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Clay C. Ross
    • 1
  1. 1.Department of MathematicsThe University of the SouthSewaneeUSA

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