A mass of 1 slug is attached to a spring whose constant is 5 lb/ft. Initially, the mass is released 1 foot below the equilibrium position with a downward velocity of 3 ft/s, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 2 times the instantaneous velocity. (a) Assume the mass is driven by an external force equal to f(t) = 8 cos(2t) + 2 sin(2t). Find the initial conditions. x(0) = x'(0) = Find the particular solution. x₂ = ft x(t) = ft ft/s Find the equation of motion of the mass. ft

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