摘要
本文总结了变量代换法在常微分方程中的应用,借助恰当的变量代换将微分方程简化为可解类型,求出其通解或者特解,同时举出实例加以说明。
In this paper,we summarize the extensive applications of variable substitution method in ordinary differential equations.Using appropriate variable substitution,the ordinary differential equations are simplified to solvable type,and their general solutions or special solutions are solved.Meanwhile,some examples are given to illustrate applications of variable substitution method.
出处
《安庆师范学院学报（自然科学版）》
2010年第4期82-87,共6页
Journal of Anqing Teachers College(Natural Science Edition)
基金
安徽省教育厅自然科学研究基金项目(KJ2008B152
KJ2009B098)资助
关键词
常微分方程
变量变换法
通解
特解
ordinary differential equations
variable-substitution method
general solution
special solution
