| n阶变系数线性微分方程组的可解情形 |
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| 引用本文： | 楼玫.n阶变系数线性微分方程组的可解情形[J].大学数学,2000(6). |
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| 作者姓名： | 楼玫 |
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| 作者单位： | 浙江师范大学数学系!浙江金华321004 |
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| 摘 要： | 本文讨论了 n阶变系数线性微分方程在变量代换下可化为可解方程组的问题 ,把文 1 ]的二阶情形推广至 n阶情形 ,且例举了三阶情形 .
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| 关 键 词： | 变(常)系数微分方程组 变量代换 欧拉方程组 可积型方程组 |
Solvable Conditions of System of nth Order Variable Coefficient Linear Equations |
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| LOU Mei.Solvable Conditions of System of nth Order Variable Coefficient Linear Equations[J].College Mathematics,2000(6). |
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| Authors: | LOU Mei |
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| Abstract: | This paper discusses the question for transforming system of n th order variable coefficient homogeneous linear ordinary differential equations: by use of variable substitution, into solvable system of equations. The generalization of the case of second order is discussesed and some examples of third order are taked. |
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| Keywords: | system of variable (ordinary) coefficient differential equations variable substitution Euler equation integrable system of differential equat |
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