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 24: 4

Answer

The order is 1. It is nonlinear.

Work Step by Step

The differential equation $$\frac{dy}{dt}+ty^2=0$$ has order 1 because the highest derivative appearing in the equation, $\frac{dy}{dt}$, is of order 1. It is nonlinear because the function $y$ is raised to the second power in the term $ty^2$.
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