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EX: Find all residues of f(z) = Sol: there are f(z)= 50 Z 11 11 (Z+4) (Z-1)² 50 Z 32²² +42-7JZ=-4 12= Lim Z-1 200 25 dz 8 507 50 Z Z³+27²-7Z+4 -8 simple pole at Z=-4 double pole at Z=1 -Lim. Z-DI (2+4) (50)-50Z*A (2+4)² How did he get the value inside the circle

EX: Find all residues of f(z) = Sol: there are f(z)= 50 Z 11 11 (Z+4) (Z-1)² 50 Z 32²² +42-7JZ=-4 12= Lim Z-1 200 25 dz 8 507 50 Z Z³+27²-7Z+4 -8 simple pole at Z=-4 double pole at Z=1 -Lim. Z-DI (2+4) (50)-50Z*A (2+4)² How did he get the value inside the circle

Advanced Engineering Mathematics
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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EX: Find all residues of f(Z) = Sol : f(z)=. there are 50 Z (Z+4) (Z-1)² Y₁ = = [35² 50 Z 32² +42-7J Z=-4 12= Lim Z-1 200 25 8 507 Z +41 50 Z Z³+2Z²-77 +4 = -8 simple pole at Z=-4 double pole at Z=1 =Lim. (2+4) (50)-50Z* ! (2+4)² How did he get the value inside the circle
Transcribed Image Text:EX: Find all residues of f(Z) = Sol : f(z)=. there are 50 Z (Z+4) (Z-1)² Y₁ = = [35² 50 Z 32² +42-7J Z=-4 12= Lim Z-1 200 25 8 507 Z +41 50 Z Z³+2Z²-77 +4 = -8 simple pole at Z=-4 double pole at Z=1 =Lim. (2+4) (50)-50Z* ! (2+4)² How did he get the value inside the circle
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