v1.0: * Changed: title. * Added: comment in caption of Fig 1 on the dimensionless nature of all figures. v0.2: * Added: Comparison of the energy for two different potentials that share the same scattering length and integral (new figure). * Added: Lee-Huang-Yang prediction in figures. * Fixed: Wrong exponent in definition of correlation function. * Added: More precise comparison of the big equation prediction for the hard core potential (new figure). * Changed: Miscellaneous minor fixes and clarifications. v0.1: * Changed: Improved definition of the two-point correlation function for the Simple Equation.