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The springs have constants k1 and k2 and the masses have positions x1 and x2. Assuming x1 and x2 are zero when the springs are

The springs have constants k1 and k2 and the masses have positions x1 and x2. Assuming x1 and x2 are zero when the springs are unstretched, find the set of second order differential equations describing the motion of the masses. You may use either a Newtonian or Lagrangian approach. Assume that there are no frictional or gravitational forces.

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