What's the solution of the following homogeneous ODE У"+ 8y + 16у %3 0 (C1 + C2) e* а. b. others Ос. c. (C; + C2 x) e³x d. (C1 + C2 x) e* (C, + C2) e 4x е. f. (C, + C2 x) e4x

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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What's the solution of the following
homogeneous ODE
y' + 8y + 16y = 0
a. (C, + C2) e*
а.
b.
others
c. (C; + C2 x) e3×
d. (C; + C2 x) e*
O C.
(C, + C2) e4x
е.
f. (C; + C2 x) e 4x
Transcribed Image Text:What's the solution of the following homogeneous ODE y' + 8y + 16y = 0 a. (C, + C2) e* а. b. others c. (C; + C2 x) e3× d. (C; + C2 x) e* O C. (C, + C2) e4x е. f. (C; + C2 x) e 4x
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