Abstract
The main focus of Chap. 4 is the Laplace transform. At first, the Laplace transform operator is introduced and applied to some nonperiodic and periodic functions. Then, the Laplace transforms of derivatives and integrals, the derivatives and integrals of the Laplace transforms, as well the convolution theorem are presented. It is shown how the Laplace transform can be used to solve scalar differential equations.
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© 2014 Springer India
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Hermann, M., Saravi, M. (2014). Laplace Transforms. In: A First Course in Ordinary Differential Equations. Springer, New Delhi. https://doi.org/10.1007/978-81-322-1835-7_4
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DOI: https://doi.org/10.1007/978-81-322-1835-7_4
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Publisher Name: Springer, New Delhi
Print ISBN: 978-81-322-1834-0
Online ISBN: 978-81-322-1835-7
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