"Dit" refers to a neuter gender word: et barn (a child) -> dit barn (your child). "Din" refers to a utrum gender (male and female as one) word: en mand (a man) -> din mand (your man). And, finally, "dine" refers to a plural word (regardless of its gender): dine børn (your children), dine mænd (your men)
Thank you. Can you give some of another grammar informations to us? We have too many question like that actually.
I wrongly translated this to "eats" instead of "is eating" but I believe both versions are correct.