摘要
利用升阶法研究了一类高阶线性变系数常微分方程,给出了齐次方程的通解公式,并讨论了非齐次方程待定的特解.
A class of higher-order linear ordinary differential equations with variable coefficients are studied by means of the order-increasing methods.The general solutions of homogeneous equations are given and the undetermined particular solutions of non-homogeneous equations are discussed.
出处
《大学数学》
2011年第4期182-185,共4页
College Mathematics
基金
南京信息工程大学课程建设项目(JG032006J01)
关键词
高阶线性变系数常微分方程
升阶法
通解
特解
higher-order linear ordinary differential equations with variable coefficients
order-increasing methods
general solution
particular solution