4. Find the residues of each of the following functions at its poles 3. •f(z)= 22 +3 ans : 2²-4 FCZ) = Z-3 • • f(Z) Z³452² KZ e (Z-2)³ f(Z) =(2²+4)² n = 7/4 > 12 = 1/4 ans = 8/25 > Y2 = -8/25 2 2k ans 3 r = ke ens : r₁ = √₂=0
4. Find the residues of each of the following functions at its poles 3. •f(z)= 22 +3 ans : 2²-4 FCZ) = Z-3 • • f(Z) Z³452² KZ e (Z-2)³ f(Z) =(2²+4)² n = 7/4 > 12 = 1/4 ans = 8/25 > Y2 = -8/25 2 2k ans 3 r = ke ens : r₁ = √₂=0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question

Transcribed Image Text:4.
Find the residues of each of the following functions
at its poles ?
ans :
•f(z)= 22 +³
2²-4
f(z) Z-3
•
S
Z²452²
KZ
e
(Z-2)³
f(2)=(2²+4) ²
• f(Z)
n1 = 7/4
2 √2=1/4
ans: r₁= 8/25, 12 = 8/25
2 2k
ans 3 r = ke
ans: r₁ = √₂=0
-
Ra
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images

Recommended textbooks for you

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,

