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
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:
Verify the following Laplace transforms, where a is a real number.
f(t) = 1→ F(s) = 1/s
Transcribed Image Text:
00 e s" f(t) dt, F(s) = 1 00 F(s) = e s! e dt dt
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Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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