You can separate a homogeneous mixture by Evaporation based on boiling point, distillation based on boiling point, and chromatography based on the fact that different colors travel different distance in a solid.
You can used chromatography, and distillation
The homogeneous mixtures that are represented by a single uniform phase, throughout the entire mixture, can be separated using the properties of the components that participate in mixture.
One method of separation of homogeneous mixtures is called chromatography (analytical or preparative) and it involves two stages: mobil stage and stationary stage.
Other method of separation of homogeneous mixtures is called distillation and it is based on the various boiling points of the component of mixture. Heating the mixture, the component that has the lowest boiling point will evaporate and the separation can be done.
Chromatography, evaporation, distillation are some methods.
A pure substance is just that, pure, only one type of element or compound and it can't be separated into other substances. (a note about PURE: 100% pure is virtually impossible, but we can get close)
An example of a Homogeneous mixture being separated is 'homogenized' milk. Just let it set on the counter for a day or two and you'll see it separate into whey and fat. Milk has to be 'homogenized' to break the fat up into small enough particles that it will stay in solution and not separate out.
Filtering and distillation are to physical means of separating homogenous mixtures.
You can separate the homogeneous mixture by using fractional distillation method.This is based upon the boiling point of the each substance.One more method that is chromatography can also be used to separate the homogeneous mixture.