hmmm ok i try help u,,,
Can and could have (or more precisely, should have) distinct differences, but these differences are often obscured by popular usage.
Generally speaking, can means "to be able to" while could means "is possible, has the potential to". Therefore, in your example, "The phone is ringing—it can be your mother," while syntactically correct, is illogical because it implies that the phone (or the ringing of the phone) is itself capable of being your mother. "It could be your mother" is correct because the statement means, "It is possible that the caller is your mother."
May, in addition to its other uses (to have permission to, etc.) basically means "to be possible". It can, therefore, be used in many contexts the same as could, e.g. "The phone is ringing again—that may be your mother."
There is a subtle difference between may and could in that could also implies potential for ability not present, as in "The athlete could run faster if he exercises more." While one could also say, "The athlete may run faster if he exercises more," also meaning that there is a possibility of the athlete’s running faster if he exercises more, the former sentence carries the additional connotation that the athlete currently lacks the ability to run faster, but does have the potential for that ability. Here may only implies possibility.
i hope this help u,,,=)