Laplace Transformations

  • R. G. Buschman
Part of the Mathematics and Its Applications book series (MAIA, volume 377)


In this chapter we introduce the Laplace transformation as a tool for handling several types of problems. It also serves as a model for the development of other integral transformations. The technique is introduced by first treating a problem in ordinary differential equations. This is followed by a problem in partial differential equations. Next, some of the basic elementary properties of the transformation are developed. A number of examples are included in order to illustrate the applications of these working tools. In particular, these tools are applied to various problems in ordinary differential equations, partial differential equations, and integral equations, as well as in other situations.


Partial Differential Equation Partial Fraction Laplace Transformation Inversion Formula Unit Step Function 
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Copyright information

© Springer Science+Business Media Dordrecht 1996

Authors and Affiliations

  • R. G. Buschman
    • 1
  1. 1.University of WyomingLaramieUSA

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