(adsbygoogle = window.adsbygoogle || []).push({}); 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!

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# Having issues with a seemingly simple problem

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