I have a beagle he is 3 years old and my mother went away on a trip and I think he is home sick he will not eat or drink and e is walking around with his tail between his legs and when we pick him up he cry's he will not walk up stairs or jump on our beds I do not know what to do.

You can't let him go to long with out water. You may need to take him to the vet.

That sounds like much more than missing your mother. Get him to a vet before the weekend.