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变系数二阶线性齐次微分方程的一种新颖解法
A New Solution to a Variable Coefficient Second Order, and Linear Homogenous Differential Equation
【摘要】 通过一条定理的证明 ,引入一个辅助函数ω(x) ,只要找出ω(x)与q(x)的关系 ,就可以求出变系数二阶线性齐次方程y″ +p(x)y′ +q(x)y =0的通解 .
【Abstract】 This paper is about a general solution to the linear homogeneous differential equation“ y″+p(x)y′+q(x)y=0 ” The general key can be got from proving a theorem,leading into an auxiliary function ω(x) and finding out the relation between ω(x) and q(x)
- 【文献出处】 河南教育学院学报(自然科学版) ,Journal of Henan Institute of Education , 编辑部邮箱 ,2004年04期
- 【分类号】O175
- 【被引频次】1
- 【下载频次】382