You would have to go to court ... And be able to prove that you were born on a different date.
As far as I know, you can't. Im pretty sure that would be fraud. The only way you could change it would be if it was incorrect (im not even sure how that would happen but anyway) but I dont know how you would go about proving that.
Just out of interest, why exactly do you want to change it anyway?
Unless there is a mistake on the original BC, you cant just change it because you want a different date but if a mistake, get a notarized paper showing correct birth date from Hospital and have Judge approve it but it may not be as easy as it sounds here
These cases are very common. My father is also a victim of this error. He's been celebrating his birthday twice on the same month. I think he is just lucky that the error is not on the year he was born, well not totally lucky because of the error.