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9. (a) Do a partial fraction 22²z+1 (z − 1)(z + 1)² = A 2- + B 2+1 + C (z + 1)² (b) Evaluate the contour integral fc (2-1)(+12dz along the contour C = C₁ UC₂, where C₁: |z1|= 1, counter-clockwise; C₂ : 2 + 1 = 1, clockwise.

9. (a) Do a partial fraction 22²z+1 (z − 1)(z + 1)² = A 2- + B 2+1 + C (z + 1)² (b) Evaluate the contour integral fc (2-1)(+12dz along the contour C = C₁ UC₂, where C₁: |z1|= 1, counter-clockwise; C₂ : 2 + 1 = 1, clockwise.

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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both parts. thank you

9. (a) Do a partial fraction 22² 2+1 (z − 1)(z + 1)² = A 2-1 + B C + 2+1 (z + 1)² (b) Evaluate the contour integral c (2-1)(2+1)2dz along the contour C = C₁ UC₂, where C₁: |z1|= 1, counter-clockwise; C₂ : 2 + 1 = 1, clockwise. 2-
Transcribed Image Text:9. (a) Do a partial fraction 22² 2+1 (z − 1)(z + 1)² = A 2-1 + B C + 2+1 (z + 1)² (b) Evaluate the contour integral c (2-1)(2+1)2dz along the contour C = C₁ UC₂, where C₁: |z1|= 1, counter-clockwise; C₂ : 2 + 1 = 1, clockwise. 2-
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