a) What is the transfer function of a system whose input and output arerelated by the following differential equation?d'y , dy+3+ 2ydtb) The impulse response of a certain system is the sinusoidal signal sin t.Determine the system transfer function and differential equation.c) The input, x, and the output, y, of a system are related by thedifferential equation:d'y-10을+21y-7x +3뜨dtdtdtShow that the system transfer function3s +7G(s):(s+7)(s +3)d) The impulse response of a control system is an exponentially decayingsine wave below; find the system transfer function and the differentialequation relating output to input.e- " sin(&)

(a) To find the transfer function of a system whose input and output are related by differential…

Answered: a) What is the transfer function of a…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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a) What is the transfer function of a system whose input and output are related by the following differential equation? d'y 3. +2y =x+ dt dt