#5. Show that & fiz) dz =0 where C is the circle 1/2/=/ in positive direction and when (b) f(²)= (1) f(z) = 24 2-4, 1 2²+27+2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Please solve #5
#3. Evaluate S (² + 2) dz, where C is the straight line path
from I to i.
#4. Let fiz) be the branch
2²-¹+² = exp[(-++i) logz], 12100, 0<argz<211
and C is the positive oriented unit cipcle 121=1,
find & fizidz
с
#5. Show that & fiz) dz =0 where C is the circle /2/=/
in positive direction and when
(1) f(z) = 2²-4₁
(b) f(²)=
2²+27+2
Transcribed Image Text:#3. Evaluate S (² + 2) dz, where C is the straight line path from I to i. #4. Let fiz) be the branch 2²-¹+² = exp[(-++i) logz], 12100, 0<argz<211 and C is the positive oriented unit cipcle 121=1, find & fizidz с #5. Show that & fiz) dz =0 where C is the circle /2/=/ in positive direction and when (1) f(z) = 2²-4₁ (b) f(²)= 2²+27+2
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