To differ is to be different, or to vary. Your list of favorite movies might differ from your sister's, especially if you like romantic comedies and she likes action films.
Gas prices differ from state to state, and sometimes even from one side of the street to the other. Opinions on politics can often differ within a single family, and sometimes food preferences differ so much that no one can decide where to eat lunch. The verb differ can mean simply "be unlike," but it can also mean "clash" or "dissent." The Latin root, differre, combines dis, "away from," with ferre, "carry."