A mass weighing 8 pounds stretches a spring 1 foot. The mass isinitially released from rest from a point 2 feet below theequilibrium position, and the subsequent motion takes place in amedium that offers a damping force that is numerically equal to 2times the instantaneous velocity. Find the equation of motion(solve the IVP) if the mass is driven by an external force equal tof(t) = 5 cos(2t).
Graph the solution. What part of the graph shows the transientbehavior? What is the steady-state behavior?
