Choose the correct forms of the Forced Response and the Natural Response of the following system beginning at time t = 0 seconds, y"(t) + 8 y'(t) + 16 y(t) = x(t) if an input signal: x(t) = 2 exp(-4 t) u(t) is applied to the relaxed system. yF(t) = C exp(-4 t)u(t); yN(t) = K1 exp(-4 t)u(t) + K2 t exp(-4 t)u(t) = yF(t) C t exp(-4 t) u(t); yN(t) = K1 exp(-4 t)u(t) + K2 exp(+4 t)u(t) ○ yF(t) = Ct exp(-4 t)u(t); yN(t) = K1 exp(-4 t)u(t) + K2 exp(-4 t)u(t) ○ yF(t) = C exp(+4 t)u(t); yN(t) = K1 exp(-4 t)u(t) + K2 t exp(+4 t)u(t) OyF(t) = Ct exp(-4 t)u(t); yN(t) = K1 exp(-4 t)u(t) O yF(t) = C exp(-4 t)u(t); yN(t) = K1 t exp(-4 t) u(t) + K2 t^2 exp(-4 t)u(t) yF(t) = C t^2 exp(-4 t)u(t); yN(t) = K1 exp(-4 t)u(t) + K2 t exp(-4 t)u(t) yF(t) = Ct exp(-4 t)u(t); yN(t) = K1 exp(-4 t)u(t) + K2 t exp(-4 t)u(t)

Choose the correct forms of the Forced Response and the Natural Response of the following system beginning at time t = 0 seconds, y"(t) + 8 y'(t) + 16 y(t) = x(t) if an input signal: x(t) = 2 exp(-4 t) u(t) is applied to the relaxed system. yF(t) = C exp(-4 t)u(t); yN(t) = K1 exp(-4 t)u(t) + K2 t exp(-4 t)u(t) = yF(t) C t exp(-4 t) u(t); yN(t) = K1 exp(-4 t)u(t) + K2 exp(+4 t)u(t) ○ yF(t) = Ct exp(-4 t)u(t); yN(t) = K1 exp(-4 t)u(t) + K2 exp(-4 t)u(t) ○ yF(t) = C exp(+4 t)u(t); yN(t) = K1 exp(-4 t)u(t) + K2 t exp(+4 t)u(t) OyF(t) = Ct exp(-4 t)u(t); yN(t) = K1 exp(-4 t)u(t) O yF(t) = C exp(-4 t)u(t); yN(t) = K1 t exp(-4 t) u(t) + K2 t^2 exp(-4 t)u(t) yF(t) = C t^2 exp(-4 t)u(t); yN(t) = K1 exp(-4 t)u(t) + K2 t exp(-4 t)u(t) yF(t) = Ct exp(-4 t)u(t); yN(t) = K1 exp(-4 t)u(t) + K2 t exp(-4 t)u(t)

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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