## Differential Equations and Linear Algebra (4th Edition)

Published by Pearson

# Chapter 1 - First-Order Differential Equations - 1.4 Separable Differential Equations - True-False Review - Page 43: a

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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