Below are three differential equations. From each one, find a (i) transfer function and (ii)the state space representation. The values that you'll use for the coefficients are different for each

student and can be accessed in the accompanying excel document. For both the TF and SS, use f(t) as the input and x as the output. a_{1} \ddot{x}+b_{1} \ddot{x}+c_{1} \dot{x}+d_{1} x=f(t) b_{2} \ddot{x}+c_{2} \dot{x}+d_{2} x=f(t) c_{3} \dot{x}+d_{3} x=f(t)