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 - 1.4 Separable Differential Equations - True-False Review: a

Answer

True.

Work Step by Step

The equation $\frac{dy}{dx}=f(x)g(y)$ can be rearranged as $\frac{dy}{g(y)}=f(x)dx$, where variables are separated. Therefore, every differential equation of this form is separable.
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