Math Problem Statement

can you find the residue of the following function at s=(-cc2q0 + cc1)/(-cc1p1 + cc2*q1) ?

where q1, q0, p1, and cc1,omega1,P0, are positive constants

f(s)=-omega1P0sinh(sqrt(cc2(q1s + q0)/(p1s + 1) - cc1)x)exp(st)/(scosh(sqrt(cc2(q1s + q0)/(p1s + 1) - cc1)l)sqrt(cc2(q1s + q0)/(p1*s + 1) - cc1));

Solution

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Math Problem Analysis

Mathematical Concepts

Complex Analysis
Residue Theorem
Singularities

Formulas

Residue calculation formula

Theorems

Residue Theorem

Suitable Grade Level

Advanced Undergraduate