Answer
True.
Work Step by Step
Integrating the $y^{(n)}$ along with $F(x)$ results in the $y^{(n)}$ becoming $y$. Therefore, $F(x)$ being integrated $n$ consecutive times is the general solution.
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 1 - First-Order Differential Equations - 1.2 Basic Ideas and Terminology - True-False Review - Page 21: e
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