Answer
See below
Work Step by Step
We can write the given function as:
$f(t)=\sin t(1-u_{\pi}t)+\sin t(u_{2\pi}t-u_{3\pi}t)...\\
=\sin t[1-u_{\pi}t+u_{2\pi}t-u_{3\pi}t+...]$
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: 15
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