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    Differential Equations : Masses and Springs

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    A body that weighs 16 lb. is attached to the end of a spring which is stretched 2 ft. by a force of 100 lb. It is set in motion from a position ½ foot from the equilibrium position of the spring with an initial velocity of -10 ft/sec.

    (a) Find the differential equation that governs the position of the body over time relative to the equilibrium position of the spring.

    (b) Solve the differential equation.

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    Solution Summary

    Differential equations, masses and springs are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.