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A linear system is modeled by the differential equation

A linear system is modeled by the differential equation

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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A linear system is modeled by the differential equation ÿ(t) + 2ký(t) + ay(t) = ü(t) + 7u(t) where k is a "tunable" parameter in the dynamics. Suppose that a = 60, and it is desired that the unit step response of the system contains an ocillating transient term whose damping ratio is S = 0.7 What value for k is required?
Transcribed Image Text:A linear system is modeled by the differential equation ÿ(t) + 2ký(t) + ay(t) = ü(t) + 7u(t) where k is a "tunable" parameter in the dynamics. Suppose that a = 60, and it is desired that the unit step response of the system contains an ocillating transient term whose damping ratio is S = 0.7 What value for k is required?
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