solve for this

a) Consider the nonlinear ODE as follows, [0.5 marks] d? d oO =-8- sin((t)) 0.2- +2-u(t) . . . dg(t). . d* g(t) . where @ is expressed in radians, in radian/second and a radian/second?. This ODE does model the dynamics of certain pendulums (but not the one that we used in the lab). You are required to obtain an LTI approximation to this model. Assume that the pendulum will operate in a region close to angular position=0