In production practice and scientific research

the relationship between variables is the key to solve and research problems. A differential equation is an equation by establishing the relationship between independent variables

unknown functions and derivatives. Differential equations can accurately reveal the internal law of change between things

through the establishment of differential equation model

can better solve the problem of the relationship between variables. This paper mainly discusses the practical application of differential equation in population prediction

infectious disease early warning

economics and environmental protection through several typical ordinary differential equation models

so as to realize the role of ordinary differential equation in solving practical problems.