Anthropology homework help. 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 5 ft/s, and the subsequent motion takes place in a medium that offers a damping force numerically equal to two times the instantaneous velocity. (a) Find the equation of motion if the mass is driven by anexternal force equal to/(t) = 12 cos 2t + 3 sin 2t. (b) Graph the transient and steady-state solutions on the samecoordinate axes. (c) Graph the equation of motion.solve the given differential equation by undetermined coefficientsy” – 4y = (x2 – 3) sin 2xy”” – y” = 4x + 2xe-xsolve each differential equation by variation of parameters.y”+y=tan xy” -y = sinh2xsolve the given initial-value problem. Use a graphing utility to graph the solution curve.x2y” – 3xy’ + 4y = 0, y(l) = S, y'(l) = 3Use the information given in the FIGURE to construct a mathematical model for the number of pounds of salt x1 (t), x2(t), and x3(t) at time t in tanks A, B, and C, respectively.I’VE ATTACHED THE FIGURE.
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