Ohio Rev. Code § 3349.22: Citizens not to be charged.

Citizens of municipal corporations in which municipal universities, colleges, or other educational institutions are located shall not be charged for instruction in the academic department, except in professional courses therein. The board of directors of any such institution may charge fees for any purpose to students in other departments and to students in professional courses in the academic department, and may charge fees for purposes other than instruction to students in the academic department. From time to time the board may make such university, college, or educational institution free in any of its departments to citizens of the county in which it is located.

The board may receive other students on such terms as to tuition or otherwise as it sees fit.