/sci/ - Science & Math

Can someone explain to me how am I supposed to draw curves in the phase space given a potential function?
Like say I have the potential function
[math]
V(x) = \frac{2}{x^2} - \frac{x^2}{2} + 5 \ln x
[/math]
where x>0.
Given the plot of V (pic related), how do I plot the orbits in the phase space?? (axes [math] x [/math] and [math] \dot{x} [/math] )