Answer #5 and find the Inverse Laplace Transform of the functions by reduction to partial fractions. Refer to the given answer choices so that I will know if my solution is wrong.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Answer #5 and find the Inverse Laplace Transform of the functions by reduction to partial fractions.

Refer to the given answer choices so that I will know if my solution is wrong.

Problem 5. Which gives the inverse transforms of the given s-domain function?
O [(1/192)e^t][-72t - 32e^2t + 41e^8t - 9]
O [(1/192)e^-t][-72t - 32e^2t + 41e^8t - 9]
O [(1/288)e^-3t]-72t - 32e^2t + 41e^8t - 9]
O [(1/288)e^-t][-36t - 64e^2t + 82e^8t - 27]
Transcribed Image Text:Problem 5. Which gives the inverse transforms of the given s-domain function? O [(1/192)e^t][-72t - 32e^2t + 41e^8t - 9] O [(1/192)e^-t][-72t - 32e^2t + 41e^8t - 9] O [(1/288)e^-3t]-72t - 32e^2t + 41e^8t - 9] O [(1/288)e^-t][-36t - 64e^2t + 82e^8t - 27]
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: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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