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 - 1.8 Change of Variables - True-False Review - Page 78: h

Answer

False

Work Step by Step

Definition:- Differential equation that can be written in the form $\Large\frac{dy}{dx}$+$p(x)y=q(x)y^n$ ____(1) $n$ is real constant is called a Bernoulli equation. $\Large\frac{dy}{dx}$ $-e^{xy}y=5x\sqrt{y}$ ____(1) According to definition of Bernoulli differential equation $p$ should be function of $x$ only but $-e^{xy}$ is not function of $x$ only That's why (1) is not Bernoulli differential equation.\gt
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.