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.
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© 1998 Springer Science+Business Media New York
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Gustafson, G.B., Wilcox, C.H. (1998). The Laplace Transform. In: Analytical and Computational Methods of Advanced Engineering Mathematics. Texts in Applied Mathematics, vol 28. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0633-0_4
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DOI: https://doi.org/10.1007/978-1-4612-0633-0_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6847-5
Online ISBN: 978-1-4612-0633-0
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