Problem 1 Use partial fraction expansion to find the time-domain waveform f (t) corresponding to the following transforms: a) F (s) = s(3?+4s+8) 2 b) F (s) = (s+1)(s+2) Additionally, find the initial (f (0)) and final (f (o)) values of the waveforms corresponding to the following transforms (s+3) c) F(s) = 100- s(s+5)(s+20) S-200 d) F(s) = s(s+50)

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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Problem 1
Use partial fraction expansion to find the time-domain waveform f (t)
corresponding to the following transforms:
a) F (s) =
s(3?+4s+8)
2
b) F (s) =
(s+1)(s+2)
Additionally, find the initial (f (0)) and final (f (o)) values of the waveforms corresponding
to the following transforms
(s+3)
c) F(s) = 100-
s(s+5)(s+20)
S-200
d) F(s) =
s(s+50)
Transcribed Image Text:Problem 1 Use partial fraction expansion to find the time-domain waveform f (t) corresponding to the following transforms: a) F (s) = s(3?+4s+8) 2 b) F (s) = (s+1)(s+2) Additionally, find the initial (f (0)) and final (f (o)) values of the waveforms corresponding to the following transforms (s+3) c) F(s) = 100- s(s+5)(s+20) S-200 d) F(s) = s(s+50)
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