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一类二阶变系数微分方程的求解
引用本文:孟立平.一类二阶变系数微分方程的求解[J].安康学院学报,2012,24(2):98-99.
作者姓名:孟立平
作者单位:兰州商学院信息工程学院,甘肃兰州,730020
摘    要:研究了二阶变系数微分方程y″+P(x)y=Q(x),在适当条件下将其转换为二阶线性常系数微分方程,并得到其通解。应用该方法,可求出许多变系数微分方程的通解。

关 键 词:通解  变系数  二阶微分方程

One Method for Solving the Various Coefficient Second Order Differential Equation
MENG Liping.One Method for Solving the Various Coefficient Second Order Differential Equation[J].Journal of Ankang Teachers College,2012,24(2):98-99.
Authors:MENG Liping
Institution:MENG Liping(School of Information Engineering,Lanzhou University of Finance-Economics,Lanzhou 730020,Gansu,China)
Abstract:In this paper,the solvable of the various coefficient second order differential equation is studied.The condition that the various coefficient second order differential equation transfers into constant coefficient equation is given.Some solvable results are extended.
Keywords:second order differential equation  various coefficient  general solution
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