Let P(s) and Q(s) be polynomials with the degree of P(s) less than the degree of Q(s). Let Q(s) = (S-₁) (S-₂) (srn), where the rk's are distinct real numbers. P (Tk) kt Given these conditions, Heaviside's expansion formula states that £1 Laplace transform of F(s) = 4s²-19s +3 (S-1)(s-4)(s+5)* n ¹80-2004) (t) = k=1 P Use Heaviside's expansion formula to determine the inverse

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
Let P(s) and Q(s) be polynomials with the degree of P(s) less than the degree of Q(s). Let Q(s) = (s-r₁) (s-₂)... (srn), where the rk's are distinct real numbers.
P
P (Tk)
ek. Use Heaviside's expansion formula to determine the inverse
Q(K)
1
Given these conditions, Heaviside's expansion formula states that L
Laplace transform of F(s) =
4s² - 19s +3
(S-1)(s-4)(s+5)*
(
n
(t) = Σ
k=1
Transcribed Image Text:Let P(s) and Q(s) be polynomials with the degree of P(s) less than the degree of Q(s). Let Q(s) = (s-r₁) (s-₂)... (srn), where the rk's are distinct real numbers. P P (Tk) ek. Use Heaviside's expansion formula to determine the inverse Q(K) 1 Given these conditions, Heaviside's expansion formula states that L Laplace transform of F(s) = 4s² - 19s +3 (S-1)(s-4)(s+5)* ( n (t) = Σ k=1
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
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,