(b) A linear dynamic system is described by the differential equation d'y(t) dy(t) dr -6y(t) =...

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(b) A linear dynamic system is described by the differential equation d'y(t) dy(t) dr -6y(t) = x(t) dt where x(t) is the input to the system. (i) Find the transfer function of this linear system. Is the system stable? Justify your answer. (ii) Suppose y = 1 and =0 att = 0. Find the system output y(t) if x(t) = 2u(t). dy dt where u(t) is the unit step function. (b) A linear dynamic system is described by the differential equation d'y(t) dy(t) dr -6y(t) = x(t) dt where x(t) is the input to the system. (i) Find the transfer function of this linear system. Is the system stable? Justify your answer. (ii) Suppose y = 1 and =0 att = 0. Find the system output y(t) if x(t) = 2u(t). dy dt where u(t) is the unit step function.

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dy dy 6yct aCH dt Transfer function and Stability Convert above equation to laplace by applying la... View the full answer