Elementary Differential Equations and Boundary Value Problems 9th Edition

Published by Wiley
ISBN 10: 0-47038-334-8
ISBN 13: 978-0-47038-334-6

Chapter 1 - Introduction - 1.3 Classification of Differential Equations - Problems - Page 25: 22

Answer

The highest order derivative is 2, so the equation is of order 2. The equation has two nonlinear terms $uu_x$, and $uu_y$, therefore is a nonlinear equation.

Work Step by Step

The highest order derivative is 2, so the equation is of order 2. The equation has two nonlinear terms $uu_x$, and $uu_y$, therefore is a nonlinear equation.
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