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Differential equation and a spring

I am looking for a detailed solution. I need set up, solving, and final result. Therefore, I need solution of the second order DFQ. Finally for the description of the movement as time goes to infinity, I need what type of motion is that.

a. An 8lb weight is attached to a spring suspended from the ceiling. When the weight comes to rest at equilibrium, the spring has been...

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This is a question involving differential equations to find motion of the weight of a spring.

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