Answer
$$y=-6+11 e^{4t}$$
Work Step by Step
The general solution of $y'=4y+24=4(y+6)$ is
$$y=-6+c e^{4t}.$$
When $y(0)=5$, then $5=-6+c$, i.e. $c=5+6=11$. Thus:
$$y=-6+11 e^{4t}$$
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) - Exercises - Page 360: 3
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.
