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The motion of the mass m attached to a spring is described by the differential [30 marks] equation dL dt where L is the

 

The motion of the mass m attached to a spring is described by the differential [30 marks] equation dL dt where L is the displacement of the mass, c is the friction coefficient, and k is the spring constant. The parameters satisfy the condition c < 4mk. Find m dL + c + kL = 0, dt 3 the diplacement versus time under the initial conditions dL (#2). L(0) = 3, t=0 = 2. Your solution will be a formula containing m, c and k.

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