Question 3. Evaluate e² £² -dz 2² +4 Y for y being a closed contour, a) y(t) = 4eit, b) y(t) Hint: use the representation and apply the Cauchy integral theorems. 1 z² +4 - = Z eit, te [0, 2π]. A - 2i - + B z+ 2i

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Question 3. Evaluate
e²
£²
-dz
2² +4
Y
for y being a closed contour, a) y(t) = 4eit, b) y(t)
Hint: use the representation
and apply the Cauchy integral theorems.
1
z² +4
-
=
Z
eit, t = [0, 2π].
A
- 2i
-
+
B
z + 2i
Transcribed Image Text:Question 3. Evaluate e² £² -dz 2² +4 Y for y being a closed contour, a) y(t) = 4eit, b) y(t) Hint: use the representation and apply the Cauchy integral theorems. 1 z² +4 - = Z eit, t = [0, 2π]. A - 2i - + B z + 2i
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