a) A continuous-time system is represented by the following differential equation, 3- dt 2dy (t) +4...

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a) A continuous-time system is represented by the following differential equation, 3- dt 2dy (t) +4 dy(t) +2y(t) = x(t). dt Compute the output response of the system where x(t) = 2 u(t) and the initial conditions of the system are given by y(0) = 1 and - dy(t) dt 2 when t=0. Apply the second order differential equation method. [14 marks] b) Given function of x(t) = 3 cos 200 mt, determine: i) the minimum sampling rate required to avoid aliasing. [2 marks] ii) the discrete-time signal after sampling. [2 marks] iii) the discrete-time signal after sampling when F = 400 Hz. [2 marks] a) A continuous-time system is represented by the following differential equation, 3- dt 2dy (t) +4 dy(t) +2y(t) = x(t). dt Compute the output response of the system where x(t) = 2 u(t) and the initial conditions of the system are given by y(0) = 1 and - dy(t) dt 2 when t=0. Apply the second order differential equation method. [14 marks] b) Given function of x(t) = 3 cos 200 mt, determine: i) the minimum sampling rate required to avoid aliasing. [2 marks] ii) the discrete-time signal after sampling. [2 marks] iii) the discrete-time signal after sampling when F = 400 Hz. [2 marks]