You can be charged the in-state tuition rate at Nebraska public colleges and universities even if you would not otherwise count as a resident. It covers active duty members assigned to a permanent duty station in Nebraska and their families, honorably discharged veterans with Nebraska ties, veterans who settle in Nebraska after discharge along with their families, and Nebraska National Guard members.
Ask the admissions or registrar office at the school you are applying to how it makes residency determinations for military students, and submit their residency paperwork with your orders or discharge documents.
Your orders assigning you to Nebraska or your DD214, proof of your Nebraska ties such as a Nebraska high school transcript or voter registration, and proof of your relationship to the service member if you are a spouse or dependent.