Answer
$$y=5+c e^{4t},c\lt 0$$
Work Step by Step
The solution of $y'=4(y-5)$ is
$$y=5+c e^{4t}.$$
Where $c\lt 0$ to make $y\to - \infty$ as $t\to \infty$.
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 7 - Exponential Functions - 7.6 Models Involving y'=k(y-b) - Preliminary Questions - Page 359: 1
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter 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.
