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: e

Answer

False.

Work Step by Step

The equation $\frac{dy}{dx}=x\sin (xy)$ cannot be manipulated so that only $x$ terms are on one side and $y$ terms are on another, or so that the equation satisfies the form $f(x)dx+g(y)dy=0$, therefore, the equation is not separable.
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