Use the residue Theorem to show that22dz = iJe (22 + 7?)² sin z=1T Cosh 7王2 sinh T2 sinharound the circle C with equation 2-i = 3.Hint: sin(iz) = i sinh z and cos(iz) – cosh(2).

Answered: Image /qna-images/answer/67da8db1-c632-4a26-bfba-94a729e39505.jpg

Answered: Use the residue Theorem to show that -1…

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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Use the residue Theorem to show that -1 T Cosh T 生 2 sinh T Je (22 + 7²)² sin z 2 sinh around the circle C with equation |z – i| = 3. Hint: sin(iz) = i sinh z and cos(iz) – cosh(2).