A spring with a spring constant 8 N/m is loaded with the 2 kg mass and allowed to reach equilibrium. It is then displaced 1 meter downward and released. Assume the mass experiences a damping force in Newtons equal to 3 times velocity at every point and an external force of F(t)=2sin(2t) driving the system. Set up a differential equation that describes this system and find a particular solution to this non-homogeneous differential equation: