The system represented by the transfer functions + 1H(s) =(s + 3)(s² + 2s + 5)a) Find the differential equation showing the output - input relationship.b) Find the characteristic polynomial. Calculate the eigenvalues and eigenfunctions. Of the systemExamine its stability.c) x(t) = (et sin(3t) + e-3t + 1)u(t) Find the output y (t) for the input.

Transfer function-The transfer function is the ratio of the Laplace transform of output to Laplace…

Answered: The system represented by the transfer…

The system represented by the transfer function s+ 1 H(s) (s + 3)(s² + 2s + 5) a) Find the differential equation showing the output - input relationship.

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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Question

The system represented by the transfer function
s + 1
H(s) =
(s + 3)(s² + 2s + 5)
a) Find the differential equation showing the output - input relationship.
b) Find the characteristic polynomial. Calculate the eigenvalues and eigenfunctions. Of the system
Examine its stability.
c) x(t) = (et sin(3t) + e-3t + 1)u(t) Find the output y (t) for the input.

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