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Mathematics, 05.07.2020 14:01 naomirice24
Consider the initial value problem my′'+ c y′+ k y=F(t),y(0)=0,y,(0)=0 modeling the motion of a spring-mass-dashpot system initially at rest and subjected to an applied force F(t),where the unit of force is the Newton (N). Assume that m=2 kilograms, c=8 kilograms per second, k= 80 Newtons per meter, and F(t)=20sin(6t)Newtons. a. Solve the initial value problem. b. Determine the long-term behavior of the system. c. Is limt→[infinity]y(t)=0?If no, enter a function that approximates y(t)for very large positive values of t.
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Consider the initial value problem my′'+ c y′+ k y=F(t),y(0)=0,y,(0)=0 modeling the motion of a spri...
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