Use the Laplace transform to solve the initial-value problem: [y" +3 y' +2 y= 3 e -3 x y(0) = -4, y' (0) = 3] -2 x 15 a) O y(x) = 6 e -x e 2 -3 x e - b) O y(x) = 4 e 2 x 19 3 -x + e -3 x e 3 c) O y(x) = -2 e 2* -e*+e -3 x d) O y(x) = 12 e 2 * 27 3 -x + e -3 x e 29 e 3 -3 x e) O y(x) = -20 e2* + e f) O None of the above.
Use the Laplace transform to solve the initial-value problem: [y" +3 y' +2 y= 3 e -3 x y(0) = -4, y' (0) = 3] -2 x 15 a) O y(x) = 6 e -x e 2 -3 x e - b) O y(x) = 4 e 2 x 19 3 -x + e -3 x e 3 c) O y(x) = -2 e 2* -e*+e -3 x d) O y(x) = 12 e 2 * 27 3 -x + e -3 x e 29 e 3 -3 x e) O y(x) = -20 e2* + 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:
-3 x
[y" +3 y' +2 y=3 e
y(0) = -4, y' (0) = 3]
15
3
-3 x
a) O y(x) = 6 e 2 x
-x
e
2
-
e
19
e
3
-3 x
b) O y(x) =4 e 2
+
e
-2 x
3
-3 x
c) O y(x) = -2 e
-x
e
e
2
d) O y(x) = 12 e 2 *
27
3
-x
+
e
-3 x
e
29
e
3
-3 x
e) O y(x) = -20 e2* +
e
f) O None of the above.
+](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F90e6bfeb-bff8-474c-9f48-59323e6d17cd%2F3174bd47-1d74-4770-a1d9-0b5b7ddd97a5%2Fuf9sdw_processed.png&w=3840&q=75)
Transcribed Image Text:Use the Laplace transform to solve the initial-value problem:
-3 x
[y" +3 y' +2 y=3 e
y(0) = -4, y' (0) = 3]
15
3
-3 x
a) O y(x) = 6 e 2 x
-x
e
2
-
e
19
e
3
-3 x
b) O y(x) =4 e 2
+
e
-2 x
3
-3 x
c) O y(x) = -2 e
-x
e
e
2
d) O y(x) = 12 e 2 *
27
3
-x
+
e
-3 x
e
29
e
3
-3 x
e) O y(x) = -20 e2* +
e
f) O None of the above.
+
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