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 - 1.2 Basic Ideas and Terminology - Problems: 34

Answer

$y'=x^{-2/3}$$ $$y=3x^{1/2}+C$, valid for all real values

Work Step by Step

Integrate the function to turn $y'$ into $y$. Use power rule and don't forget an integration constant. $$y'=x^{-2/3}$$ $$y=3x^{1/2}+C$$ This solution is valid for all real values.
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.