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).
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).
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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Transcribed Image Text:Use the residue Theorem to show that
22
dz = i
Je (22 + 7?)² sin z
=1
T Cosh 7
王
2 sinh T
2 sinh
around the circle C with equation 2-i = 3.
Hint: sin(iz) = i sinh z and cos(iz) – cosh(2).
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