The Jackrabbits never trailed and jumped to an 8-1 lead, then used runs of 8-0 and 11-2 to lead 37-24 at halftime. Dykstra scored 11 points in the half.
South Dakota State (18-11, 10-4) opened the second half with a 7-2 run and led by as many as 23. The Coyotes ripped a 10-0 run, capped by a 3-pointer by Tyler Flack, to narrow the lead to 67-51 at 3:48, but the Jackrabbits' lead was too big to overcome.
Brandon Bos led South Dakota (12-17, 6-8) with 21 points and Flack finished with 16.