摘要
在假设变系数二阶线性齐次微分方程两个线性无关解的比值已知的前提下,从这个比值入手去倒推变系数二阶线性齐次微分方程的基本解组,从而得到两类变系数二阶线性齐次微分方程通解的非级数求法.
Assume that the ratio of two linearly independent solutions is known on variable coefficient linear homogeneous second-order differential equations. Then the fundamental solutions for variable coefficient second-order linear homogeneous differential equations are given by the reverse deduction method. Hence, the non-series solutions on two types of variable coefficient second-order linear homogeneous differential e- quations are obtained.
出处
《西南师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2011年第6期1-5,共5页
Journal of Southwest China Normal University(Natural Science Edition)
基金
新疆维吾尔自治区高校科研计划重点项目(XJEDU2008I31)
关键词
变系数
线性齐次
微分方程
基本解组
判别式
variable coefficient
linear homogeneous
differential equation
system of fundamental solutions
diseriminant
