Given the following ordinary differential equation describing the dynamics of a systemy'''+17y''+80y'+100y=3(u''+5u'+4u)Here, y(t) is the output and u(t) is the input. Laplace table is given below.Find the transfer function G(s) [=Y(s)/U(s)] by applying Laplace transform (all initial valus are zero)Find the poles and zeros of the system. Is the system stable or unstable?Which pole(s) is/are slow and which ones is/are fast?Find Y(s) if input is unit step function.Find initial and final values of the system by applying the theorems.

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Answered: y'''+17y''+80y'+100y=3(u''+5u'+4u)

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Given the following ordinary differential equation describing the dynamics of a system

y'''+17y''+80y'+100y=3(u''+5u'+4u)

Here, y(t) is the output and u(t) is the input. Laplace table is given below.

Find the transfer function G(s) [=Y(s)/U(s)] by applying Laplace transform (all initial valus are zero)
Find the poles and zeros of the system. Is the system stable or unstable?
Which pole(s) is/are slow and which ones is/are fast?
Find Y(s) if input is unit step function.
Find initial and final values of the system by applying the theorems.

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