а L {sinh(at)} : given that sinh (at) = So %3D s2 -a? 2

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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I. Derive the Laplace transform of the following functions:
L {sinh(at)}:
a
given that sinh (at) = S e-s
´eat
-e-at
00
s² -a²
e-st
dt
2
Transcribed Image Text:I. Derive the Laplace transform of the following functions: L {sinh(at)}: a given that sinh (at) = S e-s ´eat -e-at 00 s² -a² e-st dt 2
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