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Tutorial 13: Heaviside's formula Confirm that the following functions have simple poles and use Heaviside's formula to find the residues to evaluate the following integrals: f= 1 z sin 1. -dz and C is the circle |z - 3 = 2. az

Tutorial 13: Heaviside's formula Confirm that the following functions have simple poles and use Heaviside's formula to find the residues to evaluate the following integrals: f= 1 z sin 1. -dz and C is the circle |z - 3 = 2. az

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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Tutorial 13: Heaviside's formula Confirm that the following functions have simple poles and use Heaviside's formula to find the residues to evaluate the following integrals: 1. 2. $ 3. 1 z sin z ·LOF dz and C is the circle |z-3 = 2. 1 (²¹-2dz and C is the unit circle. dx x² + x³+x²+x+1' Hint: Use a suitable D-shaped contour
Transcribed Image Text:Tutorial 13: Heaviside's formula Confirm that the following functions have simple poles and use Heaviside's formula to find the residues to evaluate the following integrals: 1. 2. $ 3. 1 z sin z ·LOF dz and C is the circle |z-3 = 2. 1 (²¹-2dz and C is the unit circle. dx x² + x³+x²+x+1' Hint: Use a suitable D-shaped contour
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