Use partial fractions to find the inverse Laplace transforms of the following functions: 11-3s 1. +2s –3 [2e – Se-31 2s2-9s-35 2. (s+1)(s - 2)(s +3) [4e- 3e +e-] 5s2 - 2s – 19 3. (s+3)(s – 1)2 [2e-31 +3e - 4e't)
Use partial fractions to find the inverse Laplace transforms of the following functions: 11-3s 1. +2s –3 [2e – Se-31 2s2-9s-35 2. (s+1)(s - 2)(s +3) [4e- 3e +e-] 5s2 - 2s – 19 3. (s+3)(s – 1)2 [2e-31 +3e - 4e't)
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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![Exercise 224 Further problems on inverse
Laplace transforms using partial fractions
Use partial fractions to find the inverse Laplace
transforms of the following functions:
11-3s
1.
+2s -3
[2e – Se-3]
2s2-9s-35
2.
(s+1)(s- 2)(s +3)
[4e- 3e +e-I
5s2 - 2s – 19
3.
(s +3)(s – 1)2
[2e-31+3e -4e't
3s2+ 16s +15
4.
(e- (3 – 21– 312)]
(s+3)3
7+5s+13
5.
(82+2)(s+1)
2cos 2r+sin 2r+5e
3+6s+4s - 25
6.
(s²+3)
[2+1+/3sin 31 –-4 cos 31]
26-s2
7.
s(s2 +4s +13)
[-x*c
2- 3e 2 cos 31
sin 3r](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3650cb0d-9a69-45da-bcc8-725f0484351b%2F94feb308-69c0-4063-927d-311505bcb6f3%2Fq1mbaff_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Exercise 224 Further problems on inverse
Laplace transforms using partial fractions
Use partial fractions to find the inverse Laplace
transforms of the following functions:
11-3s
1.
+2s -3
[2e – Se-3]
2s2-9s-35
2.
(s+1)(s- 2)(s +3)
[4e- 3e +e-I
5s2 - 2s – 19
3.
(s +3)(s – 1)2
[2e-31+3e -4e't
3s2+ 16s +15
4.
(e- (3 – 21– 312)]
(s+3)3
7+5s+13
5.
(82+2)(s+1)
2cos 2r+sin 2r+5e
3+6s+4s - 25
6.
(s²+3)
[2+1+/3sin 31 –-4 cos 31]
26-s2
7.
s(s2 +4s +13)
[-x*c
2- 3e 2 cos 31
sin 3r
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