浅谈常微分方程的教学方法

Discussion on the Teaching Mode of Ordinary Differential Equation

常微分方程是数学专业必修的专业基础课之一,是数学分析、高等代数和解析几何的应用于发展。在讲授一阶微分方程求解的过程中,有多种求解方法与技巧。根据多年教学经验,归纳总结给出求解一阶微分方程的基本方法,如一变量分离法、常数变易法、恰当微分方程以及积分因子法等,便于学生更好地了解和掌握一阶微分方程的初等解法。

Ordinary differential equations is one of the required professional course for professional mathematics, and the application and development of the mathematical analysis, higher algebra and analytic geometry. In the process of learning of one order differential equation, there are many solving methods and techniques. Gives the general separation of variables, constant variation method, exact differential equation and the basic ways of integrating factor method , presents the basic method of application, so convenient we better understand their own characteristics.