| 变系数二阶线性微分方程的又一个新的可解类型 |
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| 引用本文： | 李冬辉,彭培让. 变系数二阶线性微分方程的又一个新的可解类型[J]. 河南教育学院学报(自然科学版), 2006, 15(2): 4-5 |
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| 作者姓名： | 李冬辉 彭培让 |
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| 作者单位： | 河南教育学院,数学系,河南,郑州,450014;河南教育学院,数学系,河南,郑州,450014 |
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| 摘 要： | 本文通过利用未知函数的线性变换和自变量变换,将一类变系数线性微分方程化成二阶常系数线性微分方程,从而得到变系数二阶线性微分方程的一个新的可解类型.
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| 关 键 词： | 变系数二阶线性微分方程 变换 新的可解类型 通解 |
| 文章编号： | 1007-0834（2006）02-0004-02 |
| 收稿时间： | 2005-12-20 |
| 修稿时间： | 2005-12-20 |
A New Solvable Type of Second Order Linear Differential Equation with Variable Coefficients |
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| LI Dong-hui,PENG Pei-rang. A New Solvable Type of Second Order Linear Differential Equation with Variable Coefficients[J]. Journal of Henan Education Institute(Natural Science Edition), 2006, 15(2): 4-5 |
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| Authors: | LI Dong-hui PENG Pei-rang |
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| Abstract: | In this paper,a kind of linear differential equation with variable coefficients is turned into second order linear differential equation with constant coefficients through linear and self-variable transformation of unknown function,then a new solvable type of second order linear differential equation with variable coefficients is obtained. |
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| Keywords: | second order linear differential equation with variable coefficients transformation new solvable type general solution |
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