Find the solution of the initial-value problem. HINT: y(x) = e is a solution of the differential equation. 4 -X 4x e*-31 4* 15 13 a) ○ p=-1e²+ b) ○ y=-31²-13 13 31 c) ○ y = 1/2 e²-300 10 13 d) ○ y=-1¹e²+ 6 31 10 13 e) 0 -- -- e 4 -X e + 15 10 4 -X 15 -X + f) O None of the above. e 4 15 4x 4x e²-4e² 15 [y"-4y"-y' +4y=0,y(0)=-5,y '(0)-2,y "(0)-1]

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 29CR
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Find the solution of the initial-value problem.
HINT: y(x) = e is a solution of the differential equation.
13
6
31 4x
10
a) O y=-
e+
4 -X
e
15
y=-
13
6
-X
b) 0 - - - ²+
y--316²-
e-
e
10
c) ○y=1/3-31
e +
10
13
31
d) ○y--+*+ **
4x
e.
e
e) y=- -1e-310
e.
15
4
31 _ e*-
4
-X
15
f) O None of the above.
4x
4
[y"-4y"-y' +4y=0,y(0) = -5,y '(0)=2,y "(0)=-1]
Transcribed Image Text:Find the solution of the initial-value problem. HINT: y(x) = e is a solution of the differential equation. 13 6 31 4x 10 a) O y=- e+ 4 -X e 15 y=- 13 6 -X b) 0 - - - ²+ y--316²- e- e 10 c) ○y=1/3-31 e + 10 13 31 d) ○y--+*+ ** 4x e. e e) y=- -1e-310 e. 15 4 31 _ e*- 4 -X 15 f) O None of the above. 4x 4 [y"-4y"-y' +4y=0,y(0) = -5,y '(0)=2,y "(0)=-1]
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