A model of a spring/mass system is 4x" + e-0.1tx = 0. By inspection of the differential equation only, discuss the behavior of the system over a long period of time. For large values of t the...

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Extracted text: A model of a spring/mass system is 4x" + e-0.1tx = 0. By inspection of the differential equation only, discuss the behavior of the system over a long period of time. For large values of t the differential equation is approximated by x" = 0. The solution of this equation is the linear function x = . Thus, for large time, the restoring force will have ---Select--- O to the point where the spring is incapable of returning the mass, and the spring will simply ---Select---