1.- +3 (s-3)(s+5)(s-1)² s2-s+3 2. s3(s+5)(s-2) s-8 3. (s-3)(s²+2s+17)

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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Problem 3. Which gives the inverse transforms of the given s-domain function?
 
 
 
 
[(1/32)e^t][-5e^4t + 13sin 4t + 5cos 4t]
 
 
 
[(1/32)e^-t][-5e^4t + 13sin 4t + 5cos 4t]
 
 
 
[(1/32)e^t][5e^4t - 13sin 4t - 5cos 4t]
 
 
 
[(1/32)e^-t][5e^4t - 13sin 4t - 5cos 4t]
Direction: Determine the Inverse Laplace Transform of the functions by reduction to
partial fractions.
s²+3
1.
(s-3)(s+5)(s-1)²
s2-s+3
2.
s3(s+5)(s-2)
s-8
3.
(s-3)(s2+2s+17)
4.
(s+1)²(s²-4s+85)
s2+5s-2
5.
(s+1)²(s-1)(s-7)
Transcribed Image Text:Direction: Determine the Inverse Laplace Transform of the functions by reduction to partial fractions. s²+3 1. (s-3)(s+5)(s-1)² s2-s+3 2. s3(s+5)(s-2) s-8 3. (s-3)(s2+2s+17) 4. (s+1)²(s²-4s+85) s2+5s-2 5. (s+1)²(s-1)(s-7)
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