Help needed! Using newtons second law model for a vibrating spring with damping and no force My"+by'+ky=0 Find equation of motion if m=10 kg, b=60kg/sec, k=50 kg/sec^2 , y(0)=0.3 and y'(0)=-0.1 m/sec. what is the position of mass after 1 second? Show work 4) Brine solution of salt flows at a constant rate of 6L/min into a tank that initially held 50 L of brine solution into which was dissolved 1.5 kg of salt. Solution in the tank is stirred and flows out of tank at same rate of 6L/ min. If the concentration of salt entering tank is 0.05 kg/L, develop differential equation that models the scenario and find the expression of the mass of salt, S(t), in the tank at t minutes. Use function to find the amount of salt in tank after 10 mins. Show work