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. A continuous-time system is given by the input/output differential equation d²y(t) dt² dy(t) +4- + 3y(t) = 2 d²x(t) - 4- dt dt² dx(t) dt - x(t) : = unit impulse In each of the following parts, compute the response y(t) for all t ≥ 0. (a) y(0) = −2, y(0¯) = 1, x(t) = 0 for all t≥0. (b) y(0) = 0, y(0¯) = 0, x(t) = d(t), 8(t) (c) y(0) = 0, y(0¯) = 0, x(t) = u(t) (d) y(0¯) = −2, y(0¯) = 1, x(t) = u(t)

. A continuous-time system is given by the input/output differential equation d²y(t) dt² dy(t) +4- + 3y(t) = 2 d²x(t) - 4- dt dt² dx(t) dt - x(t) : = unit impulse In each of the following parts, compute the response y(t) for all t ≥ 0. (a) y(0) = −2, y(0¯) = 1, x(t) = 0 for all t≥0. (b) y(0) = 0, y(0¯) = 0, x(t) = d(t), 8(t) (c) y(0) = 0, y(0¯) = 0, x(t) = u(t) (d) y(0¯) = −2, y(0¯) = 1, x(t) = u(t)

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
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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. A continuous-time system is given by the input/output differential equation d²y(t) dt² dy(t) +4- + 3y(t) = 2 d²x(t) - 4- dt dt² dx(t) dt - x(t) : = unit impulse In each of the following parts, compute the response y(t) for all t ≥ 0. (a) y(0) = −2, y(0¯) = 1, x(t) = 0 for all t≥0. (b) y(0) = 0, y(0¯) = 0, x(t) = d(t), 8(t) (c) y(0) = 0, y(0¯) = 0, x(t) = u(t) (d) y(0¯) = −2, y(0¯) = 1, x(t) = u(t)
Transcribed Image Text:. A continuous-time system is given by the input/output differential equation d²y(t) dt² dy(t) +4- + 3y(t) = 2 d²x(t) - 4- dt dt² dx(t) dt - x(t) : = unit impulse In each of the following parts, compute the response y(t) for all t ≥ 0. (a) y(0) = −2, y(0¯) = 1, x(t) = 0 for all t≥0. (b) y(0) = 0, y(0¯) = 0, x(t) = d(t), 8(t) (c) y(0) = 0, y(0¯) = 0, x(t) = u(t) (d) y(0¯) = −2, y(0¯) = 1, x(t) = u(t)
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