Convolution and the Solution of Ordinary Differential Equations

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


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.


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

© Springer-Verlag London 2014

Authors and Affiliations

  1. 1.School of Computing and MathematicsPlymouth UniversityPlymouthUK

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