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Erschienen in:
2014 | OriginalPaper | Buchkapitel
3. Convolution and the Solution of Ordinary Differential Equations
verfasst von : Phil Dyke
Erschienen in: An Introduction to Laplace Transforms and Fourier Series
Verlag: Springer London
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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.