摘要
研究了四阶变系数非齐次线性微分方程可化为特殊常系数线性微分方程的问题 ,从而避免了求解高次代数方程的困难 .应用变量变换和分析技巧 ,得到了变系数微分方程具有某种形式的解的充要条件 .
we use the methocl of the variable transformation and analysis technique to put the fourth order variable coefficient linear differential equations into some special constant coefficients linear differential equations, and give the necessary and sufficient conditions for variable coefficient linear differential equations with solutions of some type.
出处
《杭州师范学院学报(自然科学版)》
2003年第1期16-19,共4页
Journal of Hangzhou Teachers College(Natural Science)
关键词
四阶
变系数线性微分方程
通解
转化条件
fourth order
variable coefficients differential equation
general solutions
transfer condition