A powerful tool in solving problems in engineering and physics is the Laplace transform. Given a function

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A powerful tool in solving problems in engineering and physics is the Laplace transform. Given a function f(t), the Laplace transform is a new function F(s) defined by


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where we assume that s is a positive real number. For example, to find the Laplace transform of f(t) = e-t, the following improper integral is evaluated:


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Verify the following Laplace transforms, where a is a real number.


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Calculus For Scientists And Engineers Early Transcendentals

ISBN: 9780321849212

1st Edition

Authors: William L Briggs, Bernard Gillett, Bill L Briggs, Lyle Cochran

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