Answer
$y=c_{1}+c_{2}e^{-3x}$
Work Step by Step
$y''+3y'=0$
Use auxiliary equation
$r^{2}+3r=0$
$r^{2}+3r=0$
$r(r+3)=0$
$r=0, -3$
Theorem 4
$y=c_{1}e^{r_{1}x}+c_{2}e^{r_{2}x}$
$y=c_{1}e^{0x}+c_{2}e^{-3x}$
$y=c_{1}+c_{2}e^{-3x}$
Multivariable Calculus, 7th Edition
by Stewart, James
Published by
Brooks Cole
ISBN 10:
0-53849-787-4
ISBN 13:
978-0-53849-787-9
Chapter 17 - Second-Order Differential Equations - 17.1 Exercises - Page 1172: 10
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.
