Obtain the time domain solution, y(t), from the following Laplace transform: s+1 Y(s) = s(3s + 2)(s+3) e-4s Use the final value theorem to obtain y(0) for the following functions: (a) Y(s) = (b) Y(s) = s+7 s(s² +10s + 6) (2s +1)’(s +3)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Obtain the time domain solution, y(t), from the following Laplace transform:
s+1
Y(s) =
s(3s + 2)(s+3)
e-4s
Use the final value theorem to obtain y(0) for the following functions:
(a) Y(s) =
(b) Y(s) =
s+7
s(s² +10s + 6)
(2s +1)’(s +3)
Transcribed Image Text:Obtain the time domain solution, y(t), from the following Laplace transform: s+1 Y(s) = s(3s + 2)(s+3) e-4s Use the final value theorem to obtain y(0) for the following functions: (a) Y(s) = (b) Y(s) = s+7 s(s² +10s + 6) (2s +1)’(s +3)
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