OK. The short answer is that it won't be possible. But why should you be satisfied with my short answer? Lets work through this together, and see what will and won't work, and why.
What are the properties of the analyate you're looking for. What properties can you detect, with what analytical properties that you know?
Crappy example time. Separate and identify potassium chloride and sodium chloride, by water extraction and color of solution. That's dumb. They're both water soluble to give clear solutions. That won't work at all. But we can somewhat separate them by exploiting their different solubility in different solvents and at different temperatures, and they do give different colors in flame tests.
So lets see what you can plan. The instructor will likely accept a well thought out plan, even if you don't have access to an instrument or skill.