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 3 - Second Order Linear Equations - 3.2 Solutions of Linear Homogenous Equations; the Wronskian - Problems - Page 155: 7



Work Step by Step

$$ty''+3y=t,\quad{y(1)}=1,\quad{y'(1)}=2$$ For a unique solution that is twice differentiable, the $y''$ term has to exist. Hence $t=0$ is a limit of the boundary. Since the given solution $t=1$ lies to the right of this limit, there is a confirmed solution in the range $t>0$. Hence, the longest open interval is $t>0$.
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.