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Consider a continuous time system given by: d²y dy dx + 3 + 2y = x + 3 dt? dt dt (a) For input x(t) = u(t), determine the response y(t) of the system. Assume the system is initially at rest.

Consider a continuous time system given by: d²y dy dx + 3 + 2y = x + 3 dt? dt dt (a) For input x(t) = u(t), determine the response y(t) of the system. Assume the system is initially at rest.

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
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PLEASE DO NOT SOLVE WITH LAPLACE transform, please solve with convolution or CT fourier transform 

Consider a continuous time system given by: d²y dt2 dy dx +3 + 2y = x + 3 dt dt (a) For input x(t) = u(t), determine the response y(t) of the system. Assume the system is initially at rest. Aside: If you're unable to find the response y(t), determine the impulse response to the following system instead: d²y dy +3 - + 2y = x dt2 dt The system is initially at rest.
Transcribed Image Text:Consider a continuous time system given by: d²y dt2 dy dx +3 + 2y = x + 3 dt dt (a) For input x(t) = u(t), determine the response y(t) of the system. Assume the system is initially at rest. Aside: If you're unable to find the response y(t), determine the impulse response to the following system instead: d²y dy +3 - + 2y = x dt2 dt The system is initially at rest.
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