Abstract
The Laplace transform is an operation useful in the solution and analysis of differential equations. The utility of the transform is based on the idea that its use replaces a differential equation problem by an algebraic exercise which is more easily solved. This aspect is particularly clear in the case of ordinary differential equations, although the same basic method carries over (with suitable complications) to the case of certain partial differential equations.
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References
P. M. DeRusso, R. J. Roy and C. M. Close, State Variables for Engineers. John Wiley and Sons, New York, New York, 1965.
C. M. Close, The Analysis of Linear Circuits. Harcourt, Brace and World, New York, New York, 1966.
C. Doetsch, Guide to the Applications of Laplace Transforms. D. Van Nostrand, Princeton, New Jersey, 1961.
E.S. Kuh and R. A. Rohrer, The state variable approach to network analysis. Proceedings of the IEEE, July 1965.
N. V. Widder, The Laplace Transform. Princeton University Press, Princeton, New Jersey, 1946.
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© 2004 Springer Science+Business Media New York
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Davis, J.H. (2004). Laplace Transforms. In: Methods of Applied Mathematics with a MATLAB Overview. Applied and Numerical Harmonic Analysis. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-8198-2_6
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DOI: https://doi.org/10.1007/978-0-8176-8198-2_6
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6486-6
Online ISBN: 978-0-8176-8198-2
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