A 288 pound object is suspended from a spring. The spring stretches an extra 9 inches with the weight attached. The spring-and-mass system is then submerged in a viscous fluid that exerts 16 pounds of force when the mass has velocity 2 ft/sec. What is the differential equation for this spring-and-mass system? (Use u as the dependent variable.) This system is ? For what value of y would the system be critically damped? (if the given system is already critically damped, enter the given value for y.)

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