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A mass of 3 kg is attached to the end of a spring that has spring constant 6 N/m. t the damping coefficient is 5 N-s/m. Assume that an external force of 3 cos(wt) s on the mass. Denote by y(t) the displacement of mass from the equilibrium position. =) Write down a differential equation for y(t). 5) Determine the steady-state response of the system, when w = 1. s) If we increase the frequency of the external force from w = 1 a little, will the f the steady-state response increase or decrease? Why? s) If we increase the frequency of the external force from w = 5 a little, will the f the steady-state response increase or decrease? Why?