Give the Laplace transform of the solution to [y" +3 y' +5 y=5 e 3*, y(0) = 4, y'(0) =2] 5 14 a) O Y(s) = (s + 3) (s² + 3 s+5) 2 s +3 s+ 5 4 (s+3) 3+3 s+5 5 2 b) O Y(s) = (s+ 3) (s² + 3 s+ 5) +3 s+ 5 4 (s+ 3) +3 s+5 5 Y(s) = (s + 3) ( +3 s+ 5) 2 s* +3 s+5 5 10 d) O Y(s) = (s+ 3) (² +3 s + 5) +3 s+5 4 (s – 3) s+ 3 s+ 5 5 2 e) O Y(s) = (s+3) (s + 3 s +5) *+3 s+5 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
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Give the Laplace transform of the solution to
[y" +3 y' +5 y=5 e 3*, y(0) = 4, y' (0) =2]
5
14
Y(s) =
(s + 3) (s² + 3 s+ 5)
a)
2
s* +3 s+ 5
4 (s+ 3)
+3 s+5
5
2
b) O Y(s) =
(s + 3) (s² + 3 s+ 5)
+3 s+ 5
5
4 (s+ 3)
2
Y(s) =
(s + 3) ( +3 s+ 5)
2
s* + 3 s+5
s* +3 s+5
5
10
d) O Y(s) =
(s+ 3) ( + 3 s + 5)
+3 s+5
4 (s – 3)
s+3 s+5
5
2
e) O Y(s) =
(s+3) (s +3 s +5)
+ 3 s+ 5
f) O None of the above.
Transcribed Image Text:Give the Laplace transform of the solution to [y" +3 y' +5 y=5 e 3*, y(0) = 4, y' (0) =2] 5 14 Y(s) = (s + 3) (s² + 3 s+ 5) a) 2 s* +3 s+ 5 4 (s+ 3) +3 s+5 5 2 b) O Y(s) = (s + 3) (s² + 3 s+ 5) +3 s+ 5 5 4 (s+ 3) 2 Y(s) = (s + 3) ( +3 s+ 5) 2 s* + 3 s+5 s* +3 s+5 5 10 d) O Y(s) = (s+ 3) ( + 3 s + 5) +3 s+5 4 (s – 3) s+3 s+5 5 2 e) O Y(s) = (s+3) (s +3 s +5) + 3 s+ 5 f) O None of the above.
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