A system consists of two unit masses lying in a straight line on a smooth surface and

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A system consists of two unit masses lying in a straight line on a smooth surface and connected together to two fixed points by three springs. When a sinusoidal force is applied to the system, the displacements x1(t) and x2(t) of the respective masses from their equilibrium positions satisfy the equations

dt dx dr =x2x + sin 2t - = 2x + x

Given that the system is initially at rest in the equilibrium position (x1 = x2 = 0), use the Laplace transform method to solve the equations for x1(t) and x2(t).

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