| 一类二阶变系数线性常微分方程的通解 |
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| 引用本文： | 李世云,林清梅.一类二阶变系数线性常微分方程的通解[J].文山师范高等专科学校学报,2007,20(3):90-92. |
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| 作者姓名： | 李世云 林清梅 |
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| 作者单位： | 文山师范高等专科学校,云南,文山,663000 |
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| 摘 要： | 论述了二阶线性常微分方程y″＋A（x）y′＋B（x）y=D（x）在满足B^2＋A′B—AB^=m和B″-（AB）′=m的条件时可用初等积分法求其通解，并推出了求解公式．
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| 关 键 词： | 通解 初等积分法 二阶线性常微分方程 |
| 文章编号： | 1671-3303（2007）03-0090-03 |
| 收稿时间： | 2007-05-15 |
| 修稿时间： | 2007年5月15日 |
A General Solution of Second-Order Variable Coefficients Linear Ordinary Differential Equation |
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| LI Shi-yun,LIN Qing-mei.A General Solution of Second-Order Variable Coefficients Linear Ordinary Differential Equation[J].Journal of Wenshan Teachers College,2007,20(3):90-92. |
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| Authors: | LI Shi-yun LIN Qing-mei |
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| Institution: | LI Shi-yun, LIN Qing-mei ( Wenshan Teachers＇ College , Wenshan Yunnan 663000, China) |
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| Abstract: | The article gives a general solution to the second-order linear ordinary differential equation y″ ＋ A （x） y′ ＋ B （x） y =D （x） which meets the condition of ＂B2 ＋ A′B - AB′ = m″ and ＂B＂ - （ AB）′ = m＂, through the integration method, meanwhile the general solution formula has been deduced. |
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| Keywords: | a general solution integration method second-order linear ordinary differential equation |
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