关于积分因子的讨论

Discussion on integrating factors

采用积分因子方法将一阶微分方程转化为全微分方程是求解微分方程一个重要手段,讨论了积分因子存在的充要条件及确定若干特殊类型积分因子的准则;通过实例来说明准则的应用方法。

Transforming first order differential equation to complete differential equation by the way of integrating factors is an important means to seek solution for differential equations.This paper discusses the sufficient and necessary condition for existence of integrating factors and rules of determining some special kinds of integrating factors.It also takes some actual examples to explain the application of rules.