Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 10 - Differential Equations - Chapter Review - Review Exercises - Page 561: 7



Work Step by Step

$$\eqalign{ & \frac{{dy}}{{dx}} = {x^2} + 4{y^2} \cr & {\text{the differential equation cannot be written in the form}} \cr & q\left( y \right)dy = p\left( x \right)dx \cr & {\text{thus, the statement is false}}{\text{. It is not possible solve it using the method of}} \cr & {\text{separation of variables}}{\text{.}} \cr} $$
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