Answer
False
Work Step by Step
The first shifting Theorem can be expressed as:
When $L[\sin (2t)]=\dfrac{2}{s^2+4}=F(s)$,
Then we have: $L[e^{-t \sin 2t}]=F(s+1)\\=\dfrac{2}{(s+1)^2+4}$
Therefore, the given statement is $\bf{False}$.
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 - 10.5 The First Shifting Theorem - True-False Review - Page 694: e
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