Higuain's score came in the 51st minute as he lined up a 25-yard shot that went in off the right post. Williams knocked in a ball off a corner kick sent in by Eddie Gaven in the 88th minute to make it 2-0.
In stoppage time, Oduro raced 75 yards after a Chivas coner kick, got around Chivas' Dan Kennedy and easily finished into an empty goal.
Chivas featured nearly an entirely different roster from 2012. Seven players -- including five on loan from Chivas Guadalajara -- made their MLS debuts, as did coach Jose Luis Sanchez Sola.
Referee Chris Penso handed out four yellow cards to Chivas.