My understanding is if you're speaking Danish as the danish do, there is no difference or if there is its barely, if at all, intelligible. Danes don't speak Danish like Germans speak German. I hear "Jeg er en Mand" spoken by a Dane as "Ya e men" Its fast and they use shortened pronunciations for practically everything. Its for this reason that learning to read and write Danish is a lot easier than speaking and listening to Danish. It takes practice. Constant immersion. Gotta make logical assumptions or have the confidence to ask for clarification.
What kind of question did you get?
If it was a translation question from English to Danish, then "du har din" is already accepted
If it was a "Type what you hear" question, then you have to type what is said, so if it said "dine" then only "dine" will be accepted
If it was a multiple choice question then all correct answers must be chosen, so if all three of "Du har din", "Du har dit" and "Du har dine" come up, you must select them all
Any other question types, I'm not too familiar with