| 一类二阶变系数齐次线性微分方程的通解 |
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| 引用本文： | 孟红丽,李文清. 一类二阶变系数齐次线性微分方程的通解[J]. 西南民族学院学报(自然科学版), 2009, 35(4): 726-729 |
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| 作者姓名： | 孟红丽 李文清 |
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| 作者单位： | 孟红丽,MENG Hong-li(安阳工学院理学部,河南安阳,455000);李文清,LI Wen-qing(河南工程学院数理科学系,河南郑州,451191) |
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| 摘 要： | 通过变量代换，将一类二阶变系数齐次线性微分方程化为常系数线性微分方程，并求出在不同条件下的通解公式．
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| 关 键 词： | 变量代换 变系数 常系数 通解 |
General solutions for a class second-order homogeneous linear variable coefficients differential equation |
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| MENG Hong-li,LI Wen-qing. General solutions for a class second-order homogeneous linear variable coefficients differential equation[J]. Journal of Southwest Nationalities College(Natural Science Edition), 2009, 35(4): 726-729 |
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| Authors: | MENG Hong-li LI Wen-qing |
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| Affiliation: | MENG Hong-li, LI Wen-qing(1. Department of Science, Anyang Institute of Technology, Anyang 455000, E R. C.; 2. Department of Mathematical and Physical Science, Henan Institute of Engineering, Zhengzhou 451191, P.R.C.) |
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| Abstract: | By means of variable substitution, a class second-order homogeneous linear variable coefficients differential equation is turned into constant coefficients differential equation, and under different conditions, the general solution formulas are obtained. |
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| Keywords: | variable substitution variable coefficient constant coefficient general solution |
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