A model of a spring/mass system is 4x"+010. By inspection of the differential equation only, discuss the behavior of the system over a long period of time. For large values of the differential equation is approximated by x 0. The solution of this equation is the linear function - Need Help? Read It Thus, for large time, the restoring force will have decayed to the point where the spring is incapable of returning the mass, and the spring will simply [keep on stretching ✔✔✔

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A model of a spring/mass system is 4x" + e-0.15x = 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 =
Need Help?
Read It
Thus, for large time, the restoring force will have decayed ✔✔✔ to the point where the spring is incapable of returning the mass, and the spring will simply keep on stretching ✓
Transcribed Image Text:A model of a spring/mass system is 4x" + e-0.15x = 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 = Need Help? Read It Thus, for large time, the restoring force will have decayed ✔✔✔ to the point where the spring is incapable of returning the mass, and the spring will simply keep on stretching ✓
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