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Fundamentals of Differential Equations
A mass weighing 32 lb is attached to a spring hanging from the ceiling and comes to rest at its equilibrium position. At time t = 0, an external force$ F(t)=3 \cos 4 t \mathrm{lb} $ is applied to the system. If the spring constant is 5 lb/ft and the damping constant is 2 lb-sec/ft, find the steady state solution for the system.