S 1. Prove that the Laplace transform of f(t) = cos (wt) is F(s) = s² + w² 2. Find the Laplace transform F(s) of = cosh (bt). Hint: use the definition of f(t) cosh (bt) = ebt -bt - 2 e in terms of exponentials.
S 1. Prove that the Laplace transform of f(t) = cos (wt) is F(s) = s² + w² 2. Find the Laplace transform F(s) of = cosh (bt). Hint: use the definition of f(t) cosh (bt) = ebt -bt - 2 e in terms of exponentials.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:S
1. Prove that the Laplace transform of
f(t) = cos (wt) is F(s)
=
s² + w²
2. Find the Laplace transform F(s) of
=
cosh (bt). Hint: use the definition of
f(t)
cosh (bt)
=
ebt -bt
-
2
e
in terms of
exponentials.
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