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This question is for my differential equations class so please use differential equations to solve the...

This question is for my differential equations class so please use differential equations to solve the problem.

A mass of 4 kg is attached to a spring hanging from a ceiling, thereby stretching the spring 9.8 cm on coming to rest at equilibrium. The mass is then lifted up 10 cm above the equilibrium point and given a downward velocity of 1 m/sec. Determine the equation of motion of the mass.

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Answer #1

So equation is

Characteristic equation is

is general solution

(in meters) and

Therefore, the required equation of motion is

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