1. A linear time-invariant (LTI) continuous-time system is given by d²y(t) + 6- dx(t) + 3x(t) dt dy(t) + 25y(t) = 3 dt2 dt a) Calculate the zero-input response when the initial conditions are y(0) = 0 and dy(0)/dt = 2. b) Calculate the impulse response with zero initial conditions. c) An input step of magnitude 10 is applied at t = 0 with zero initial conditions. Calculate the zero-state response. d) Calculate the total response of the system. e) What is your opinion about the stability of the system?

1. A linear time-invariant (LTI) continuous-time system is given by d²y(t) + 6- dx(t) + 3x(t) dt dy(t) + 25y(t) = 3 dt2 dt a) Calculate the zero-input response when the initial conditions are y(0) = 0 and dy(0)/dt = 2. b) Calculate the impulse response with zero initial conditions. c) An input step of magnitude 10 is applied at t = 0 with zero initial conditions. Calculate the zero-state response. d) Calculate the total response of the system. e) What is your opinion about the stability of the system?

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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