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Laplace Transforms

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A First Course in Differential Equations

Part of the book series: Undergraduate Texts in Mathematics ((UTM))

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Abstract

The Laplace method for solving linear differential equations with constant coefficients is based upon transforming the differential equation into an algebraic equation. It is especially applicable to models containing a nonhomogeneous forcing term f(t) (such as the electrical generator in a circuit) that is either discontinuous or is applied only at a single instant of time (an impulse).

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Correspondence to J. David Logan .

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© 2010 Springer Science+Business Media,LLC

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Logan, J.D. (2010). Laplace Transforms. In: A First Course in Differential Equations. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-7592-8_4

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