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)

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)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.10: Partial Fractions

Problem 2E

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Question

Problem 2. Which gives the inverse transforms of the given s-domain function?

(-3/20)t^2 + t/100 + (33/875)e^5t + (5/56)e^-2t - 127/1000

(-3/20)t^2 - t/100 - (33/875)e^-5t - (5/56)e^2t + 127/1000

(-3/20)t^2 + t/100 + (33/875)e^-5t + (5/56)e^2t - 127/1000

(3/20)t^2 - t/100 - (33/875)e^5t - (5/56)e^-2t + 127/1000

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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