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 - 1.9 Exact Differential Equations - True-False Review - Page 91: c

Answer

False

Work Step by Step

The differential equation $M(x,y)dx+N(x,y)dy=0$ is said to be exact if $\frac{\partial M}{\partial y}=\frac{\partial N}{\partial x}$. $M(x)$ and $N(y)$ can be continuous functions, but it is not sufficient. Hence, the statement is false.
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