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

00 e s

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:

1 00 F(s) = e s! e dt dt

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

f(t) = 1→ F(s) = 1/s

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

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