| 变系数微分方程的常系数化方法研究 |
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| 引用本文： | 崔宁,李军红.变系数微分方程的常系数化方法研究[J].河北建筑工程学院学报,2007,25(2):118-119. |
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| 作者姓名： | 崔宁 李军红 |
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| 作者单位： | 河北建筑工程学院 |
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| 摘 要： | 不同于解具有e∫φ(x)dx形式的待定函数法,给出了n阶变系数微分方程在不同情形下具体的因变量和自变量代换形式,指出了变系数微分方程在具体应用中令a1=0的简便性,并得出二阶变系数非线性微分方程的常系数化方法.
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| 关 键 词： | 变系数方程 常系数化 变量代换 |
| 修稿时间： | 2006-06-26 |
Study of Linear Differential Equation with Variable Coefficients Changing into Invariable Coefficients Ones |
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| Cui Ning,LI Junhong.Study of Linear Differential Equation with Variable Coefficients Changing into Invariable Coefficients Ones[J].Journal of Hebei Institute of Architectural Engineering,2007,25(2):118-119. |
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| Authors: | Cui Ning LI Junhong |
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| Affiliation: | Cui Ning1 LI Junhong2 Hebei Institute of Architecture and Civil Engineering |
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| Abstract: | At first, overpassing the first lemma, this paper gives the material form of changing, thereby the sufficient condition on which the variable coefficients can translate into invariable ones is given. At the same time,the author points out the simple when let a1 =0. Secondly, the author afford two conditions of the question of the second order nonlinear differential equation with variable coefficients changing into invariable ones. |
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| Keywords: | equation with variable coefficients invariable coefficients the replace of variable |
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