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)
Newtons Second Law to set up the equation of motion
The Attempt at a Solution
The first part is simple. I just had..
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!