| 方程a(x)y″(x)+b(x)y′(x)+c(x)y=0的解法探析 |
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| 引用本文： | 朱玉清,于育民.方程a(x)y″(x)+b(x)y′(x)+c(x)y=0的解法探析[J].新乡师范高等专科学校学报,2003,17(2):3-5. |
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| 作者姓名： | 朱玉清 于育民 |
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| 作者单位： | 南阳理工学院,河南,南阳,473004 |
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| 摘 要： | 通过变量代换对于形如a(x)y″(x)+b(x)y′(x)+c(x)y=0的函数系数二阶常微分方程,当系数函数满足一定条件时,可以化为二阶常系数齐次微分方程。
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| 关 键 词： | 变量代换 特征方程 微分方程 |
| 文章编号： | 1008-7613(2003)02-0003-03 |
| 修稿时间： | 2002年11月10 |
Solving Process of the Equation |
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| ZHU Yu-qing,YU Yu-min.Solving Process of the Equation[J].Journal of Xinxiang Teachers College,2003,17(2):3-5. |
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| Authors: | ZHU Yu-qing YU Yu-min |
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| Abstract: | To some second order differential equation with functional coefficient like , applying variable substitution, when the coefficient function correspond with what is required, the equation can be simplified so that we can get one and the same power of the second order differential equation with ordinary coefficient. |
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| Keywords: | variable substitution characteristic equation differential equation |
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