A mass weighing 5 lb stretches a spring 3.5 inches. The mass is given a positive displacement of 9 inches from its equilibrium position and released with no initial velocity. Assuming that there is no damping and that the mass is acted on by an external force of 2 cos 3t lb, formulate the initial value problem describing the motion of the mass. u" + u'+ with u(0) = Assume u is measured in feet, t is measured in seconds, and acceleration due to gravity is 32ft/s². and u'(0) U= =

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