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-.. v to the point where the spring is incapable of returning the mass, and the spring will simply --Select--- Need Help? Read It

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 59E: According to the solution in Exercise 58 of the differential equation for Newtons law of cooling,...
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A model of a spring/mass system is 4x" + e-0.1Ex = 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-- v to the point where the spring is incapable of returning the mass, and the spring will simply --Select---
Need Help?
Read It
Transcribed Image Text:A model of a spring/mass system is 4x" + e-0.1Ex = 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-- v to the point where the spring is incapable of returning the mass, and the spring will simply --Select--- Need Help? Read It
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Calculus For The Life Sciences
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,