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Solution: Solve for the corresponding differential equation of the system

Problem Statement: Feedback and Control Systems

Poles and Zeros, Root Locus, and Stability Analysis Problem Solving

A system has one zero, s = -2, two complex conjugate poles, s = -1 ยฑ j2 and gain k = 2. Solve for the corresponding differential equation of the system.

A. 2 dy/dt + 2y(t) = d^2x/dt + 2 dx/dt + 5x(t)

B. 5 d^2y/dt + 2 dy/dt + y(t) = 2 dx/dt + 2x(t)

C. d^2y/dt + 2 dy/dt + 5y(t) = 2 dx/dt + 2x(t)

D. 2 dy/dt + 2y(t) = 5 d^2x/dt + 2 dx/dt + x(t)

The corresponding differential equation of the system is equal to d^2y/dt + 2 dy/dt + 5y(t) = 2 dx/dt + 2x(t).

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