can I use generic services in domain service with different business or not?

I have problem in create generic domain service or not?? I have "BaseEntity" that inherit any entity from it and has been every moment set value when update or insert method called in repository .my domain service layer that implements every entity business. my problem is what I have to do when I have one business that implement in every Services in domain service.can I use generic class and interface to manage BaseEntity and then change business for example for Update method override base update method or I used for every entity one service class with one interface with separate business???