AbstractThis paper introduces the concept of ordinary differential equations, as well as the relevant basic principles and on the development of ordinary differential equations in real life as well as its important the modernization of scientific and technological progress and industrial development, physics, chemistry, biology, engineering, aerospace, medical, economic and financial areas of the many principles and laws can be described as an appropriate ordinary differential equations, such as Newton's laws of motion, gravity law, law of conservation of mechanical energy, energy conservation law, the law of population development, ecological population competition, disease transmission, genetic variation, the trend of the stock's up V, the floating interest rates, the market equilibrium price changes. Mathematical Modeling and usually for production, management, social, economic and other areas raised in the original questions, which basically did not undergo any processing, there is no fixed form, but also do not see a clear solution, therefore, the mathematical process modeling is an ability to nurture our students and innovative thinking to create the capacity of "practice", through mathematical modeling, the life of the practical relevance of the issues on the theory of knowledge, the school truly be used, apply what they have learned. Description of these issues, understanding and analysis of the corresponding reduced to ordinary differential equations to describe the mathematical model study. Therefore, the theory of ordinary differential equations and methods are widely used not only in natural sciences, and more and more used in various fields of social this paper, the origin of the development of ordinary differential equations, theory of knowledge and the basic principles of starting applications, through the life of the two practical problems: Shan-hui to promote new products, milk and prevention of infectious diseases research, a systematic introduction often Differential Equations in Mathematical Modeling.
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