2s – 6 Consider the function F(s) s2 – 6s + 8 a. Find the partial fraction decomposition of F(s): 2s – 6 s2 6s + 8 b. Find the inverse Laplace transform of F(s). f(t): = L1 {F(s)} : help (formulas)

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter10: Systems Of Equations And Inequalities
Section10.CR: Chapter Review
Problem 7CC
icon
Related questions
Question
100%

Need help with part A and B. I provied an example on how to slove it.

2s – 6
Consider the function F(s)
s2 – 6s + 8
a. Find the partial fraction decomposition of F(s):
2s – 6
s2
6s + 8
b. Find the inverse Laplace transform of F(s).
f(t):
= L1 {F(s)} :
help (formulas)
Transcribed Image Text:2s – 6 Consider the function F(s) s2 – 6s + 8 a. Find the partial fraction decomposition of F(s): 2s – 6 s2 6s + 8 b. Find the inverse Laplace transform of F(s). f(t): = L1 {F(s)} : help (formulas)
5s-L
5?.5s+4
ye?
Denom first
s²-Ss +4 = (s-4)(s-1)
5-4(1)(4) = 3°>o
overdanped.
partial frateis
%3D
55-11
(5-4)(5-1)
A
S-4
B
times (s-4)(s-1)
both sides
5s-11=
A(s-) t B(s-4)
s=4: 5(4)-11= A(4-1) +o -→ 3A=9 > A=3
5=1% 5(1)-/| =
B(I-4)→ -3B=-6 → B=2
%3D
2
55-1U
S°- 5s +4
now table
%3D
5-4
23-1
5-4
२.या + 200
Transcribed Image Text:5s-L 5?.5s+4 ye? Denom first s²-Ss +4 = (s-4)(s-1) 5-4(1)(4) = 3°>o overdanped. partial frateis %3D 55-11 (5-4)(5-1) A S-4 B times (s-4)(s-1) both sides 5s-11= A(s-) t B(s-4) s=4: 5(4)-11= A(4-1) +o -→ 3A=9 > A=3 5=1% 5(1)-/| = B(I-4)→ -3B=-6 → B=2 %3D 2 55-1U S°- 5s +4 now table %3D 5-4 23-1 5-4 २.या + 200
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage