Pertaining to a genus or kind; relating to a genus, as distinct from a species, or from another genus; as, a generic description; a generic difference; a generic name.  [1913 Webster]

 Very comprehensive; pertaining or appropriate to large classes or their characteristics; -- opposed to specific.  [1913 Webster]

 Not protected by trademark; -- used especially of the names of medications; as, a generic drug; the generic name of Rogaine is minoxidil.  [PJC]