Answer
See below
Work Step by Step
We can write the given function as:
$f(t)=1+u_{\frac{\pi}{2}}(t)(\sin t-1)-u_{\frac{3\pi}{2}}(t)(1+\sin t)$
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 - 10.6 The Unit Step Function - Problems - Page 699: 14
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