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The Laplace Transform

  • Grant B. Gustafson
  • Calvin H. Wilcox
Part of the Texts in Applied Mathematics book series (TAM, volume 28)

Abstract

This chapter presents an efficient and powerful method for solving the differential equations that govern electrical networks and many other problems of engineering and applied science. The method, which originated in work of O. Heaviside1 dating from the 1890s, consists in transforming the differential equations, according to certain rules, into corresponding algebraic equations. The latter are then solved algebraically and the solutions to the original differential equations are obtained from them by Heaviside’s rules.

Keywords

Partial Fraction LAPLACE Transform Computer Algebra System Operational Rule Integral Rule 
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 1998

Authors and Affiliations

  • Grant B. Gustafson
    • 1
  • Calvin H. Wilcox
    • 1
  1. 1.Department of MathematicsUniversity of UtahSalt Lake CityUSA

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