Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 8 - Mathematical Modeling With Differential Equations - 8.2 Separation Of Variables - Exercises Set 8.2: 21

Answer

True.

Work Step by Step

Rewriting $y'=f(y)$ as $\frac{dy}{dx}=f(y)$ allows the variables to be separated. Separation of variables yields $$\frac{dy}{f(y)}=dx$$ Both sides can be integrated to solve the differential equation.
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