Answer
$y=c_{1} cos\sqrt 2x +c_{2} sin\sqrt 2x$
Work Step by Step
Follow the Second linear homogeneous differential equation
$r^{2}+2=0$
$r^{2}=-2$
$r=\sqrt 2i$ or $r=-\sqrt 2i$
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Chapter 17 - Second-Order Differential Equations - 17.1 Second-Order Linear Equations - 17.1 Exercises - Page 1200: 3
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