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
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Question
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
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
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