摘要
针对二阶线性微分方程y″+p(x)y′+q(x)y=0具有某种特殊解结构的情况下,进行可积性判据研究,利用降阶的思想,得到p(x),q(x)满足的关系式,找到了方程可积的充分条件.
In this paper, the integral criterions of the second order linear differential equation（1）, which has a kind of particular solution, ave investigated. The relations both p（x） and q（x） are derived by the method of reduction order, and the integrable sufficient conditions of differential equation are found.
出处
《数学的实践与认识》
CSCD
北大核心
2011年第14期246-249,共4页
Mathematics in Practice and Theory
基金
国家自然科学基金(11026090
10772025
10932002)
关键词
二阶线性微分方程
降阶
充分条件
可积判据
通解
second order linear differential equation
the method of reduction order
sufficient condition
integral criterion
general solution
