Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 9 - Differential Equations - 9.3 Separable Equations - 9.3 Exercises - Page 645: 5


$e^y - y = 2x + \sin(x) + C$

Work Step by Step

$(e^y-1)y'=2+\cos(x) \quad \rightarrow \quad \displaystyle \frac{dy}{dx}(e^y-y)=2+\cos(x)$ $\displaystyle \int (e^y-1)dy = \int[2+\cos(x)]dx$ $e^y-y=2x+\sin(x)+C$
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.