The Db::set_error_model method is gone. The way to change the C++ API to return errors rather than throw exceptions is via a flag on the DbEnv or Db constructor. For example:
int dberr; DbEnv *dbenv = new DbEnv(DB_CXX_NO_EXCEPTIONS);
creates an environment that will never throw exceptions, and method returns should be checked instead.
There are a number of smaller changes to the API that bring the C, C++ and Java APIs much closer in terms of functionality and usage. Please refer to the pages for upgrading C applications for further details.