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 - 1.2 Basic Ideas and Terminology - Problems - Page 21: 4



Work Step by Step

To the left of the equal sign, there is a $tan(y)$. There cannot be a function of $y$ in the equation, except a derivative of $y$ by itself. Therefore, the equation doesn't fit the form $a_o(x)y^{(n)}+a_1(x)y^{(n-1)}+...+a_n(x)y=F(x)$ and the equation must be nonlinear.
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