Answer
$(D^2+9)^2$ is the annihilator of $F(x)$
Work Step by Step
We have: $F(x)=x \cos 3x$
So, $(D^2+9)^2$ is the annihilator of $F(x)=x \cos 3x$
Therefore, $(D^2+9)^2$ is the annihilator of $F(x)$.
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 - 8.3 The Method of Undetermined Coefficients: Annihilators - Problems - Page 525: 12
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