摘要
借助自变量代换,获得了三阶变系数线性微分方程的新的可积类型,并且得到了方程y″′+p(x)y″+q(x)y′+r(x)y=0化为常系数线性微分方程的充要条件.
By means of variable substitute,a new integrable form of third order linear differential equation was obtained. Particularly, a necessary and sufficient condition of equation equtiony^″′＋p（x）y^″＋q（x）y′＋r（x）y=0converting to third order linear differential eqution with constants coefficients form was proved.
出处
《河南教育学院学报（自然科学版）》
2009年第1期15-16,共2页
Journal of Henan Institute of Education(Natural Science Edition)
关键词
线性微分方程
通解
充要条件
linear differential equation
general solution
necessary and sufficient condition
