A system is modelled by the second-order linear ordinary differential equation (ODE) below: d?x(t) dt? +6 dx(t) + 8x(t) = 0 dt a) What type of system is this? Overdamped or critically damped system? i. State the system and the characteristic equation [2 marks] ii. Get the values for the roots (s, & sy) of the characteristic equation [2 marks] b) State the complementary solution including the calculated values of s, & Sz [1 mark] The system is now forced by a ramp function such that: d?x(t) dx(t) +6 dt2 + 8x(t) = 2 dt Initial Conditions: x(0) = 0 =0 t0 c) Determine the particular solution [7 marks) d) What is the total solution? [8 marks]