Answer
See below
Work Step by Step
Using the Convolution Theorem
$L^{-1}[F(s)]=L^{-1}[\frac{1}{s-4}]\\
=e^{4t}\\
=\int^t_\frac{\pi}{2} e^{4\tau} (t-\tau) d \tau $
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 - 10.9 The Convolution Integral - Problems - Page 716: 25
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