Which of the following is the Laplace transform of the solution of the given differential equation below: y"- 10y'+9y=5t; y (0) = -1 and y'(0) =2 5 12+s Y (s) = s2(s+9) (s – 1) A (s - 9) (8 – 1) 5 12-s B Y (s) = + s2(s – 9) (s – 1) (s- 9) (s – 1) 5 12-s Y (s) = s2(s – 9) (s – 9) (s - 9) (s+1) 5 12-s D Y (s) =- s2(s – 9) (s+1) (s+9) (s – 1)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Which of the following is the Laplace transform of the solution of the given differential equation below:
y"- 10y'+9y=5t; y (0) = -1 and y'(0) =2
5
12+s
Y (s) =
s2(s+9) (s – 1)
A
(s - 9) (8 – 1)
5
12-s
B
Y (s) =
+
s2(s – 9) (s – 1)
(s- 9) (s – 1)
5
12-s
Y (s) =
s2(s – 9) (s – 9)
(s - 9) (s+1)
5
12-s
D
Y (s) =-
s2(s – 9) (s+1)
(s+9) (s – 1)
Transcribed Image Text:Which of the following is the Laplace transform of the solution of the given differential equation below: y"- 10y'+9y=5t; y (0) = -1 and y'(0) =2 5 12+s Y (s) = s2(s+9) (s – 1) A (s - 9) (8 – 1) 5 12-s B Y (s) = + s2(s – 9) (s – 1) (s- 9) (s – 1) 5 12-s Y (s) = s2(s – 9) (s – 9) (s - 9) (s+1) 5 12-s D Y (s) =- s2(s – 9) (s+1) (s+9) (s – 1)
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