1. The problem statement, all variables and given/known data A particle of mass m is repelled from the origin by a force inversely proportional to the cube of its distance from the origin. Set up and solve the equations of motion if the particle is initially at rest at a distance [itex]x_0[/itex] from the origin. (This is one dimensional motion) 2. Relevant equations Newtons Second Law to set up the equation of motion 3. The attempt at a solution The first part is simple. I just had.. [tex]m \ddot{x}=\frac{k}{x^3}[/tex] And this part is right. I am having trouble solving it however. I know it is just a method from my differential equations course but I am having trouble for some reason!