Differential Equations and Linear Algebra (4th Edition)

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: f

Answer

False

Work Step by Step

The given differential equation is Bernoulli. It has been shown that the change of variables $u = y^{1-n}$ turns the given Bernoulli differential equation into the linear differential equation. But the statement states that substitution is $y^{-n}$. Hence, this statement is false.
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