I only have one stove to cook both meat and dairy as I live in an apartment. I was told that as long as I wait twenty four hours between the two I can cook both. I saw someone asked a question regarding a treif stove and 24 hours but I was wondering if the same applied to meat and dairy, and if not what is the solution?

I assume you are talking about a stove and not an oven. For a stove you don't have to wait. You can use the same burners for meat and milk.