Answer
True.
Work Step by Step
By multiplying the equation by $(1+y^2)dx$, the equation becomes $$(1+y^2)dy=\frac{dx}{x^2}$$ Therefore, the equation can have the variables separated and the equation must be separable.
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 - 1.4 Separable Differential Equations - True-False Review - Page 43: g
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