Obtain the transfer function for the linearised system (i.e. equations Eq. (6) and Eq. (7)). Note that the input of the system is f(t) and the output is x(t). (5 marks) What is the order of the system? Justify your answer. (2 marks) Apply Laplace transform on the linearised system in equations Eq. (6)-Eq.(7). Assume zero initial conditions, i.e. x (0) = 0, x (0) = 0, x (0) = 0,* (0) = 0. dx (t) dx, (t) dt dt + dx (t) dt +2(1 + 2x (t)) -- dx (t), dx(t) dx(t) + dt dt dt = 0 = f(t) Eq.(6) Eq.(7)