| 二阶变系数微分方程的解法讨论 |
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| 引用本文： | 曹枫林.二阶变系数微分方程的解法讨论[J].襄樊职业技术学院学报,2012,11(4):31-32. |
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| 作者姓名： | 曹枫林 |
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| 作者单位： | 仰恩大学数学系,福建泉州,362014 |
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| 摘 要： | 求二阶变系数线性微分方程的解,迄今为止没有一种成规的方法。本文对二阶变系数线性微分方程进行研究,从方程的自身特点出发,构造辅助函数;给出可化为常系数或可降阶的变系数二阶微分方程的条件,及在此条件下求变系数微分方程的解。
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| 关 键 词： | 二阶 变系数 微分方程 |
Discussion on the Solution of Second-Order Variable Coefficient Differential Equation |
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| CAO Feng-lin.Discussion on the Solution of Second-Order Variable Coefficient Differential Equation[J].Journal of Xiangfan Vocational and Technical College,2012,11(4):31-32. |
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| Authors: | CAO Feng-lin |
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| Institution: | CAO Feng-lin (Yang En University,Quanzhou Fujian 362014,China) |
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| Abstract: | So far there hasn’t been a established method on how to Solve Linear Differential Equations of Second Order with Variable Coefficients.This article discusses Linear differential equation of second order with variable coefficients,starting from the characteristics of the equation,and constructs the auxiliary function,gives the conditions that constant coefficients or variable coefficients can be reduced second order differential equations and find the solution. |
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| Keywords: | second order variable coefficients differential equations |
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