摘要
研究在理论上和应用上占有重要地位的二阶线性微分方程的解法,给出了一类新二阶变系数线性齐次和非齐次微分方程的一个实用的可积判据及相应的通解积分表达式,经典的二阶常系数线性微分方程的解法是这篇论文结果的特例。
In this paper, the solution of second-order Linear differential equation which is important in theory and practice is studied, a practical integrable criterion of one kind of new second-order variable coefficient linear homogeneous and non-homogeneous equation and the integral expression formula of it's general solution are given, the solution of classical second-order constant coefficient linear differential equation is the special case of the result of this paper.
出处
《韶关学院学报》
2003年第9期1-5,29,共6页
Journal of Shaoguan University
关键词
二阶变系数线性微分方程
特征方程
可积判据
通解的积分表达式
second-order variable coefficient linear differential equation
characteristic equation
in- tegrable Criterion
integral expression formula of the general solution
