s + 8 s3 – 3s2 + 3s – 1 Consider the function F(s) = a. Find the partial fraction decomposition of F(s): s + 8 53 – 3s2 + 3s = + 1 b. Find the inverse Laplace transform of F(s). f(t) = L-l {F(s)}

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

Find the fraction decomp and inverse laplace transform in the image

s + 8
Consider the function F(s) =
s3 – 3s2 + 3s – 1
-
a. Find the partial fraction decomposition of F(s):
s + 8
s3 – 3s2 + 3s
+
1
-
b. Find the inverse Laplace transform of F(s).
f(t) = L-! {F(s)} =
Transcribed Image Text:s + 8 Consider the function F(s) = s3 – 3s2 + 3s – 1 - a. Find the partial fraction decomposition of F(s): s + 8 s3 – 3s2 + 3s + 1 - b. Find the inverse Laplace transform of F(s). f(t) = L-! {F(s)} =
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Laplace Transformation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,