Examination and Countermeasures of Network Education in Colleges and Universities Based on Ordinary Differential Equation Model

College network education as the main development direction of modern education, although both for professional teachers and students provides a new platform, and provides sufficient conditions for the people to continue learning, but also show more quality problem, so the system understanding of college network education present situation, according to the practice of science of education evaluation system to judge the quality of education, To continuously improve the comprehensive management efficiency of network education in colleges and universities is the focus of attention of college education administrators at present. This paper studies the theoretical definition of ordinary differential equation model as the core, builds a quality evaluation system based on the innovation model of network education in colleges and universities, investigates and analyzes the implementation of network education in a university, and finally puts forward effective prospect prediction and improvement measures combined with the research results.