Use the Laplace transform to solve the initial-value problem: [y " +5y'+4y=2 e, y(0) =-3, y '(0) =2] -Sx - 9 e* y(x) = -4x а) О + e e 25 -5x e 11 -4 x -x b) y(x) = e 11 c) O y(x) =- -5x e -4x + 5e -x e 19 1 -5x e -4x e 3 -x d) y(x) = e e) O y (x): -x e 2 -4x -5x +e = - e f) O None of the above.
Use the Laplace transform to solve the initial-value problem: [y " +5y'+4y=2 e, y(0) =-3, y '(0) =2] -Sx - 9 e* y(x) = -4x а) О + e e 25 -5x e 11 -4 x -x b) y(x) = e 11 c) O y(x) =- -5x e -4x + 5e -x e 19 1 -5x e -4x e 3 -x d) y(x) = e e) O y (x): -x e 2 -4x -5x +e = - 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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![Use the Laplace transform to solve the initial-value problem:
[>" +5y'+4y=2 e *, y(0) =-3, y (0) =2]
-5x
11
-5x
-4x
a) O y(x) =e*+ e* - 9 e4
25
b) O y(x) =
11
e
+
-X
-5x
-4x
11
-5x
e
-x
-4x
c)
y(x)
+5e*
= -
e
19
d) O y(x) =
-5x
-4x
e
-X
e)
y(x):
9
-x
+
e
-4x
-5x
+e
f) O None of the above.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F88afae02-80d5-49da-ad82-a7933e6f4445%2Fda2bfdac-2df1-4033-b9db-46509624725e%2F20etvl_processed.png&w=3840&q=75)
Transcribed Image Text:Use the Laplace transform to solve the initial-value problem:
[>" +5y'+4y=2 e *, y(0) =-3, y (0) =2]
-5x
11
-5x
-4x
a) O y(x) =e*+ e* - 9 e4
25
b) O y(x) =
11
e
+
-X
-5x
-4x
11
-5x
e
-x
-4x
c)
y(x)
+5e*
= -
e
19
d) O y(x) =
-5x
-4x
e
-X
e)
y(x):
9
-x
+
e
-4x
-5x
+e
f) O None of the above.
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