Antoinne Jimmerson's 25-yard touchdown run capped a nine-play, 75-yard drive that gave North Texas (0-1) a 13-10 lead going into the fourth quarter.
Davis connected with Jeremiah Gaines on an 8-yard touchdown pass with 14:15 remaining to give the Mustangs a four-point lead.
North Texas then went three-and-out and a 14-yard touchdown run by Davis capped an eight-play, 62-yard drive nearly five minutes later.
North Texas had just 240 total yards and committed four turnovers.
AP College Football website: www.collegefootball.ap.org