Answer
Nonlinear.
Work Step by Step
The first term has $y$ multiplied by $y''$. This makes it so 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 makes the equation linear.
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 - 1.2 Basic Ideas and Terminology - Problems - Page 21: 3
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