Question: 1 point Consider the initial value problem my cy ky F t y 0 0 y 0 0 modeling the motion of a spring mass

1 point Consider the initial value problem my cy ky 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 100 cos 8t Newtons a Solve the initial value problem y t help formulas b Determine the long term behavior of the system Is lim y t 0 If it is enter zero If not enter a function that approximates y t for very large positive values of t 1 00 For very large positive values of t y t help formulas

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