Differential Equations and Linear Algebra (4th Edition)

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 - 10.7 The Second Shifting Theorem - True-False Review - Page 704: f

Answer

True

Work Step by Step

The second shifting theorem states that $L {f(t) \cdot u (t-a) }= e^{-as} L { f(t+a) }$. The correct form of the given statement is: $L^{-1} (\dfrac{e^3}{s^2+9}) =L^{-1} [ \dfrac{e^s}{3} L (\sin (3t))]$. Therefore, the given statement is $\bf{True}$.
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