Answer
False
Work Step by Step
The complimentary equation for the differential equation is: $$y_c=c_1 \cos x +c_2 \sin x$$
The correct trial solution must be:
$y_p=A_0xe^{ix}$
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: c
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
