Answer
$\sqrt \frac{\pi}{s+5}$
Work Step by Step
Given: $f(t)=e^{-5t}/\sqrt t$
Using the Convolution Theorem
$L[F(s)]=L[e^{-5t}/\sqrt t]\\
=\sqrt \frac{\pi}{s+5}$
Differential Equations and Linear Algebra (4th Edition)
by Goode, Stephen W.; Annin, Scott A.
Published by
Pearson
ISBN 10:
0-32196-467-5
ISBN 13:
978-0-32196-467-0
Chapter 10 - The Laplace Transform and Some Elementary Applications - 10.10 Chapter Review - Additional Problems - Page 718: 15
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