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Convolution and the Solution of Ordinary Differential Equations

  • Phil DykeEmail author
Chapter
  • 8.6k Downloads
Part of the Springer Undergraduate Mathematics Series book series (SUMS)

Abstract

It is assumed from the outset that students will have some familiarity with ordinary differential equations (ODEs), but there is a brief résumé given in Sect. 3.3. The other central and probably new idea is that of the convolution integral and this is introduced fully in Sect. 3.2. Of course it is possible to solve some kinds of differential equation without using convolution as is obvious from the last chapter, but mastery of the convolution theorem greatly extends the power of Laplace transforms to solve ODEs.

Keywords

Simultaneous Differential Equations Convolution Theorem Integrating Factor Method Exponential Order Classical Initial Value Problem 
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.

Copyright information

© Springer-Verlag London 2014

Authors and Affiliations

  1. 1.School of Computing and MathematicsPlymouth UniversityPlymouthUK

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