Q# 5 (a) Construct an analytic function of the form f (z) = u + iv, where v is tan- (y/x), x # 0, y # 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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Q# 5 (a)
Construct an analytic function of the form f (z) = u + iv, where v is tan- (y/x), x # 0, y # 0
2 +z+1
. Evaluate Yc -² – 3z+2
(b)
dz, where C is the ellipse 4x² + 9y² = 1.
Transcribed Image Text:Q# 5 (a) Construct an analytic function of the form f (z) = u + iv, where v is tan- (y/x), x # 0, y # 0 2 +z+1 . Evaluate Yc -² – 3z+2 (b) dz, where C is the ellipse 4x² + 9y² = 1.
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