Find the general solution of y " + 9 y " + 24 y ' + 16 y=0 given that r = -1 is a root of the characteristic equation. a) O y=c, e**+c, e*+c, xe* b) O y=c, e***+ C, xe** + C, e* =) O y=C, e4*+C, xe** + c, e* d) O y=C, e'* + C, x e* * + C, e* e) O y=C, e**+ C, e** + C; e* D O None of the above.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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Find the general solution of
y " +9 y " +24 y ' + 16 y= 0
given that r = -1 is a root of the characteristic equation.
a) O y=C, e**+C, e*+ C; xe*
b) O y= C, e***+ c, xe**+ C, e*
c) O y=C, e 4*+C, xe ** + C, e*
-4x
d) O y=c, e** +C, xe* * + C, e*
e) O y= C, e**+ C, e** + C; e*
f) O None of the above.
Transcribed Image Text:Find the general solution of y " +9 y " +24 y ' + 16 y= 0 given that r = -1 is a root of the characteristic equation. a) O y=C, e**+C, e*+ C; xe* b) O y= C, e***+ c, xe**+ C, e* c) O y=C, e 4*+C, xe ** + C, e* -4x d) O y=c, e** +C, xe* * + C, e* e) O y= C, e**+ C, e** + C; e* f) O None of the above.
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