Find the solution of the initial-value problem. [y " – 3y " -y'+ 3y=0,y(0) = -5,y '(0) = 3,y "(0) =-3] HINT: y(x) = e* is a solution of the differential equation. a) O y--* 3 15 1 3x e 4 e - e 4 15 3x 3 e + -X b) O = - e 3 15 e 4 1 3x 2 3 15 e + 4 1 d) O y=-e+ e*+ 3x 4 3 15 1 3x -X e f O None of the above.
Find the solution of the initial-value problem. [y " – 3y " -y'+ 3y=0,y(0) = -5,y '(0) = 3,y "(0) =-3] HINT: y(x) = e* is a solution of the differential equation. a) O y--* 3 15 1 3x e 4 e - e 4 15 3x 3 e + -X b) O = - e 3 15 e 4 1 3x 2 3 15 e + 4 1 d) O y=-e+ e*+ 3x 4 3 15 1 3x -X e f O None of the above.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Find the solution of the initial-value problem.
Ly " - 3y " -y' +3y=0,y(0) = -5,y '(0) =3,y "(0) =-3]
HINT: y(x) = e* is a solution of the differential equation.
3
15
e".
4
1
O y=-e*+
3x
e
4
y =
15 3x
b) O y=-
3
+
-X
e
e
4
-
15
e
4
3x
e
4
c)
e
2
+
d) O y=-
15
+
4
3x
e
4
-X
+
e
3
e
2
15
1
e)
-x
e
4
3x
e
4
f) O None of the above.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F75f9ee09-effb-44e5-84f1-3c7680244f9f%2F4b4bce12-51ce-4a1d-b275-7b5bdb8e88e3%2Fbq9yfao_processed.png&w=3840&q=75)
Transcribed Image Text:Find the solution of the initial-value problem.
Ly " - 3y " -y' +3y=0,y(0) = -5,y '(0) =3,y "(0) =-3]
HINT: y(x) = e* is a solution of the differential equation.
3
15
e".
4
1
O y=-e*+
3x
e
4
y =
15 3x
b) O y=-
3
+
-X
e
e
4
-
15
e
4
3x
e
4
c)
e
2
+
d) O y=-
15
+
4
3x
e
4
-X
+
e
3
e
2
15
1
e)
-x
e
4
3x
e
4
f) O None of the above.
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