Abstract
In this paper, ordinary differential equations and
mathematical modeling contact between the two, understand the
general theory of differential equations, stability problems of
the existence and uniqueness of differential equations,
differential equations, several typical mathematical models
such as: demographic model,example of the mathematical model of
weight loss, chemical plant ventilation model, spread of
infectious diseases, model and qualitative analysis to reflect
the application of differential equations in mathematical
modeling. found that the application of mathematical theory to
study and solve problems in the actual process of the emergence
of ordinary differential equations andOrdinary Differential
Equations in Mathematical Modeling widely used, in order to
better enable ordinary people to understand and use
mathematical theory, solving real-world problems. sublimation
theory by the knowledge-based transformation to the ability to
type, highlight the differential equationsand differential
equations in mathematical modeling efforts made outstanding and
significant contribution in various fields.
Keywords: ordinary differential equations, mathematical