suppose we have a mechanical system with the following model: \bar{v}+6 \bar{y}+13 y=13 n where y is the output of the system and u is the input of the system. Initial conditions are y(0)and y(0). 1) Based on the given model, generate the transfer function Y(s)/U(s). (b) What are the poles and zeros of the transfer function? (c) If the input u(t) is a unit step, find the output y(t) when y(0)= 0 and y(0) = 0. (d) Write down an expression for the free response with initial conditions y(0) =1 and y(0)= 0 (e) Is this system stable? Please explain.

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