Linearize the following nonlinear ordinary differential equation with input u and output y. =y-y tu Y(s)...

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Linearize the following nonlinear ordinary differential equation with input u and output y. ý=y-yở tu Y(s) Find a transfer function at the operating point y* = 1. Notice that the autonomous (u = 0) system has y = 0 when y* = 1. Is your linearized system stable at this point? Linearize and find a transfer function at the operating point y* = 0. Is the linearized system stable? Y(s) U (s) Linearize the following nonlinear ordinary differential equation with input u and output y. ý=y-yở tu Y(s) Find a transfer function at the operating point y* = 1. Notice that the autonomous (u = 0) system has y = 0 when y* = 1. Is your linearized system stable at this point? Linearize and find a transfer function at the operating point y* = 0. Is the linearized system stable? Y(s) U (s)

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