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1 dz, C:k – 3i] = 3 z² +4z + 13

1 dz, C:k – 3i] = 3 z² +4z + 13

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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Engineering analysis
Q30] use Cauchy's residue theorem to evaluate the given integral along the indicated contour. Complex Variable Theory (Problems) Assist. Prof. Dr. Husham L. Swadi - Electrical Engineering Department 2021/2022 1 dz, C: k – 3i| = 3 Jcz² + 4z + 13 1 dz, C: k - 2 = dz, C: Izl = 2 Jcz - 1 dz, C is the ellipse 16x + y = 4 Y.(z + 1)(z? + 1) ze? dz, C: Iz| = 2 Jcz? - 1 e? dz, C: Izl = 3 tanz dz, C: z- 1| = 2 cot rz dz, C: kl = } cot Tz dz, Cis the rectangle defined byx=,x=7,y= -1, y = 1 I 2z - 1 Ye z(z + 1) y = -1, y = 1 Let + sinz Jc (z - 7)* dz, Cisthe rectangle defined by x = -2, x= 1, dz, C: k – 3| = 1 cosz dz, C: z – 1| = 1 Jc (z – 1(z² + 9)
Transcribed Image Text:Q30] use Cauchy's residue theorem to evaluate the given integral along the indicated contour. Complex Variable Theory (Problems) Assist. Prof. Dr. Husham L. Swadi - Electrical Engineering Department 2021/2022 1 dz, C: k – 3i| = 3 Jcz² + 4z + 13 1 dz, C: k - 2 = dz, C: Izl = 2 Jcz - 1 dz, C is the ellipse 16x + y = 4 Y.(z + 1)(z? + 1) ze? dz, C: Iz| = 2 Jcz? - 1 e? dz, C: Izl = 3 tanz dz, C: z- 1| = 2 cot rz dz, C: kl = } cot Tz dz, Cis the rectangle defined byx=,x=7,y= -1, y = 1 I 2z - 1 Ye z(z + 1) y = -1, y = 1 Let + sinz Jc (z - 7)* dz, Cisthe rectangle defined by x = -2, x= 1, dz, C: k – 3| = 1 cosz dz, C: z – 1| = 1 Jc (z – 1(z² + 9)
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