变系数线性微分方程的一个可解类型 |
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引用本文: | 赵忠奎,王玉学.变系数线性微分方程的一个可解类型[J].齐齐哈尔轻工业学院学报,2012(5):66-69. |
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作者姓名: | 赵忠奎 王玉学 |
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作者单位: | 东北石油大学数学科学与技术学院,黑龙江大庆163318 |
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摘 要: | 给出了一类二阶变系数线性微分方程,利用未知函数的线性变换转化为一个可解类型,即贝塞尔方程的求解,这种解法还可进一步推广。
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关 键 词: | 变系数线性微分方程 线性变换 贝塞尔方程 贝塞尔函数 |
The variable coefficient of differential equation solution methods |
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Affiliation: | ZHAO Zhong-kui , WANG Yue-xue ( Northeast Petroleum University, School of Mathematics Science and Technology, Heilongjiang Daqing 163318, China ) |
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Abstract: | In the paper, it gives a class of second order variable coefficient linear differential equation and uses knowledge linear transformation of unknown function into a solution types, that is the solution of Bessel equation, this method can be further promotion. |
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Keywords: | variable coefficient linear differential equation linear transformation bessel equation bessel function |
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