Answer
True
Work Step by Step
It has been shown that the change of variables $y = xV(x)$ where $V(x)$ is function of $x$, always turns a first-order homogeneous differential equation with separated variables. Hence, this statement is true.
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 - 1.8 Change of Variables - True-False Review - Page 78: e
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