7. PROBLEM 7 (10 POINTS.) Let y-ly(t) denote the position from equilibrium of a mass M connected to a spring and a damper. If the equation for y(t) is y' (t)+y' (t) + y(t) = -3 sin 5t which of the following is the correct form for a particular solution y(t)? Enter answer in Blackboard Test 3 (a) y(t) = K, cos 5t (b) y(t) = Kit cos 5t + K₂t sin 5t (c) y(t) = K₁ cos 5t + K₂ sin 5t (d) y(t) = K₂t sin 5t (e) None of the above.
