Exercise 4 Find the transfer function G(s) for the differential equation given by dy d +3...

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Exercise 4 Find the transfer function G(s) for the differential equation given by dy d +3 dt4 dt3 Y d y dy du du +5. +6. dt2 + y = dt dt +4- + 10u, dt where u is the input and y is the output. Is G(s) stable? Explain why. If u(t) = 6, then compute y(0) = lim y(t). Plot y(t) in Matlab and provide your code. Exercise 4 Find the transfer function G(s) for the differential equation given by dy d +3 dt4 dt3 Y d y dy du du +5. +6. dt2 + y = dt dt +4- + 10u, dt where u is the input and y is the output. Is G(s) stable? Explain why. If u(t) = 6, then compute y(0) = lim y(t). Plot y(t) in Matlab and provide your code.