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A system has the input-output equation: d²y dy + 3. + 2y(t) = dt dx + x(t) dt %3D dt2 If the input x(t) = 2u(t) + S(t) what is the output y(t)? O A. Vlt) = 2u(t) O B. V(t) = u(t) %3D Oc VIt) = (e ¯'+ e¯2")u(t) O D. V(t) = S(t) %3D

A system has the input-output equation: d²y dy + 3. + 2y(t) = dt dx + x(t) dt %3D dt2 If the input x(t) = 2u(t) + S(t) what is the output y(t)? O A. Vlt) = 2u(t) O B. V(t) = u(t) %3D Oc VIt) = (e ¯'+ e¯2")u(t) O D. V(t) = S(t) %3D

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 system has the input-output equation: \[ \frac{d^2y}{dt^2} + 3\frac{dy}{dt} + 2y(t) = \frac{dx}{dt} + x(t) \] If the input \( x(t) = 2u(t) + \delta(t) \), what is the output \( y(t) \)? - **A.** \( y(t) = 2u(t) \) - **B.** \( y(t) = u(t) \) - **C.** \( y(t) = (e^{-t} + e^{-2t})u(t) \) - **D.** \( y(t) = \delta(t) \) - **E.** None of the other answers is correct.
Transcribed Image Text:A system has the input-output equation: \[ \frac{d^2y}{dt^2} + 3\frac{dy}{dt} + 2y(t) = \frac{dx}{dt} + x(t) \] If the input \( x(t) = 2u(t) + \delta(t) \), what is the output \( y(t) \)? - **A.** \( y(t) = 2u(t) \) - **B.** \( y(t) = u(t) \) - **C.** \( y(t) = (e^{-t} + e^{-2t})u(t) \) - **D.** \( y(t) = \delta(t) \) - **E.** None of the other answers is correct.
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