# Question 2 dry(t)- dt2 y(t) + 5y(t) + 6y(t) = x(t) d221) + 3x(t) + 2x(t) = 2x(t) Problem 2.19 Find the output, given the input and initial conditions, for the systems described by the following differential or difference equations: 1 d 1 (a) x(t) = e 'u(t), y(0) = - 2 d2 d dt 4 d 3 (b) x(t) = cos(t)u(t), y(0) 5dry(t)...o = 5 d2 d : dt (c) x[n] = u[n], y[-2] = 8,y[-1] = 0: y[n] - ay[n - 2) = 2x[n] + x[n – 1] (d) x[n] = 2"u[n], [-2] = 26, y[-1) = -1: y[n) – ()vín 11 - (b)vín – 2] = x[n] + ( 5 )a[n – 1]

WXGNK0 The Asker · Electrical Engineering

Transcribed Image Text: 2 dry(t)- dt2 y(t) + 5y(t) + 6y(t) = x(t) d221) + 3x(t) + 2x(t) = 2x(t) Problem 2.19 Find the output, given the input and initial conditions, for the systems described by the following differential or difference equations: 1 d 1 (a) x(t) = e 'u(t), y(0) = - 2 d2 d dt 4 d 3 (b) x(t) = cos(t)u(t), y(0) 5dry(t)...o = 5 d2 d : dt (c) x[n] = u[n], y[-2] = 8,y[-1] = 0: y[n] - ay[n - 2) = 2x[n] + x[n – 1] (d) x[n] = 2"u[n], [-2] = 26, y[-1) = -1: y[n) – ()vín 11 - (b)vín – 2] = x[n] + ( 5 )a[n – 1]
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Transcribed Image Text: 2 dry(t)- dt2 y(t) + 5y(t) + 6y(t) = x(t) d221) + 3x(t) + 2x(t) = 2x(t) Problem 2.19 Find the output, given the input and initial conditions, for the systems described by the following differential or difference equations: 1 d 1 (a) x(t) = e 'u(t), y(0) = - 2 d2 d dt 4 d 3 (b) x(t) = cos(t)u(t), y(0) 5dry(t)...o = 5 d2 d : dt (c) x[n] = u[n], y[-2] = 8,y[-1] = 0: y[n] - ay[n - 2) = 2x[n] + x[n – 1] (d) x[n] = 2"u[n], [-2] = 26, y[-1) = -1: y[n) – ()vín 11 - (b)vín – 2] = x[n] + ( 5 )a[n – 1]