摘要：本文主要研究了常微分方程在几何学、物理学以及数学建模等各方面的应用，其中，重点讨论了其在数学建模中的应用，以凸显常微分方程对于解决实际生活问题的重要性。

　　随着现代社会的科学技术和生产实践的发展，数学模型这一学科也随之应运而生，并且显得日益重要。而在这些数学模型(建模)中,有一类非常重要的方法即为用常微分方程的方法去解决各种实际生活中的问题。以下的应用则是从实际问题出发展现常微分方程在实际生活中的重要性。研究如何应用常微分方程来分析生活中的具体问题。

关键字：常微分方程； 实际生活； 应用

Abstract：This paper mainly studies the application of ordinary differential equation in geometry,physics and other aspects ,we put emphasis on its application in mathematical modeling .In order to highlight importance of the ordinary differential equation for solving real life problems.

　With the development of modern science and technology and production practice of social, mathematical model, a subject also came into being, and is becoming increasingly important. In the mathematical model (model), has a very important method for ordinary differential equations to solve various problems in real life. Following application is to proceed from the actual problem of showing the importance of ordinary differential equation in real life. Study how to apply ordinary differential equations to analyze specific issues in our life.

Keywords:  Ordinary differential equation;   Real life;   Application