Problem 2. Consider the following differential equation. (i.e., y(2) (t) implies the second order derivative of y(t).) 2y(3)(t)+4y²)(t)+10y (t) = u (²) (t) + 3u () (t) + 2u(t) (a) Find the transfer function, H(s). (b) Find the general form of impulse response, h(t). (Do not need to evaluate the actual constants. Leave the constants as k₁, k2, etc. The answer should be in its final form without the complex numbers.) (c) Find the general form of step response, y(t). (Do not need to evaluate the actual constants. Leave the constants as k₁, k2, etc. The answer should be in its final form without the complex numbers.)
Problem 2. Consider the following differential equation. (i.e., y(2) (t) implies the second order derivative of y(t).) 2y(3)(t)+4y²)(t)+10y (t) = u (²) (t) + 3u () (t) + 2u(t) (a) Find the transfer function, H(s). (b) Find the general form of impulse response, h(t). (Do not need to evaluate the actual constants. Leave the constants as k₁, k2, etc. The answer should be in its final form without the complex numbers.) (c) Find the general form of step response, y(t). (Do not need to evaluate the actual constants. Leave the constants as k₁, k2, etc. The answer should be in its final form without the complex numbers.)
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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explain your answer in good but concise detial double check your work please

Transcribed Image Text:Problem 2. Consider the following differential equation. (i.e., y(2) (t) implies the second
order derivative of y(t).)
2y(3)(t)+4y²)(t)+10y (t) = u (²) (t) + 3u () (t) + 2u(t)
(a) Find the transfer function, H(s).
(b) Find the general form of impulse response, h(t). (Do not need to evaluate the actual
constants. Leave the constants as k₁, k2, etc. The answer should be in its final form
without the complex numbers.)
(c) Find the general form of step response, y(t). (Do not need to evaluate the actual
constants. Leave the constants as k₁, k2, etc. The answer should be in its final form
without the complex numbers.)
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