Consider a system with the mathematical model given by the differential equation:

5dy(t) dt3 +10 dy (1) dt +5dy(1) dt +2y(t) = u(t). A state variable representation of the system is: -2 -1 -0.4 x(t) = 1 0 0 x(t) + u(t) a. 0 1 0 y(t)= [0_0_0.2]x(t) -5 -1 -0.7 b. x(t)= 1 0 0 x(t)+ 0 u(t) y(t) c. x(t)= = 0-1 [000.2]x(t) -2 1 -0 y(t) = [10]x(t) -2-1-0.4 0 - (t)+ 1 x(t) = d. 1 0 0 x(t) 0 u(t) 0 1 0 y(t)= [0_0_0.2]x(t)