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 - 10.2 The Existence of the Laplace Transform and the Inverse Transform - True-False Review - Page 685: g

Answer

True

Work Step by Step

$(f+g) (t+mn)=f(t+m+m+........+m)+g(t+n+n+.......+n)\\=f(t)+g(t)$ This implies that the function can be considered a periodic with period of $mn$. Therefore, the given statement is $\bf{True}$.
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