6. (a) use the complementary function and particular integral method to solve the differential equation: dx2 dx given that y(0) 6 and y (0) 3. state, with reasons, whether the system represented by this equation is stable or not. (15 marks) (b) (i) using the substitution t = 1 +x2 show that. (ii) hence, using separation of variables, obtain the general solution of the differential equation dy (ii) given the inital condition y(0) 2 obtain the particular solution of the differential (10 marks) equation given in part (ii).