poticati

1. (+ iz) to come from; to originate; to date from
   Njena porodica potiče iz Crne Gore. — Her family comes from Montenegro.
   Ova crkva potiče iz četrnaestog veka. — This church dates from the fourteenth century.
2. (+ od) to stem from; to be caused by
   Problem potiče od loše organizacije. — The problem stems from poor organization.

In Serbia "to encourage" is usually podsticati, while poticati normally means "to originate".