Posted by **Hugo** on Monday, April 25, 2011 at 1:28pm.

A particle P of mass m=1 moves on the x-axis under the force field

F=36/(x^3) - 9/(x^2) (x>0).

Show that each motion of P consists of either (i) a periodic oscillation between two extreme points, or (ii) an unbounded motion with one extreme point, depending on the value of the total energy.

Regards

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