Answer
False
Work Step by Step
The correct trial solution must be:
$y_p=A_0xe^{(2+3i)x}+B_0e^{(2+3i)x}=e^{-x} \cos (2x)$
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 8 - Linear Differential Equations of Order n - 8.4 Complex-Valued Trial Solutions - True-False Review - Page 528: b
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