| 变系数四阶线性微分方程的一个可解类型 |
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| 引用本文： | 宋爱丽,胡爱莲.变系数四阶线性微分方程的一个可解类型[J].喀什师范学院学报,2009,30(3):4-8. |
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| 作者姓名： | 宋爱丽 胡爱莲 |
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| 作者单位： | 喀什师范学院,数学系,喀什,新疆,844007 |
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| 基金项目： | This paper is supported by scientific research project of Kashgar Teachers College. |
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| 摘 要： | 通过自变量变换，将一类变系数变系数四阶线性微分方程化为四阶常系数线性微分方程，从而得到变系数四阶线性微分方程的一个新的可解类型，推广了著名的四阶Euler方程．
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| 关 键 词： | 变系数四阶线性微分方程 自变量变换 可积类型 通解 |
A Solvable Type of Fourth Order Linear Differential Equation with Variable Coefficients |
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| SONG Ai-li,HU Ai-lian.A Solvable Type of Fourth Order Linear Differential Equation with Variable Coefficients[J].Journal of Kashgar Teachers College,2009,30(3):4-8. |
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| Authors: | SONG Ai-li HU Ai-lian |
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| Institution: | ( Department of Mat hematies, Kashgar Teachers College, Kashgar 844007, Xinjiang, China) |
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| Abstract: | A kind of linear differential equation with variable coefficients is turned into fourth order constant coefficient linear differential equation with self-variable transformation of unknown function, and then a new solvable type of fourth order linear differential equation with variable coefficients is obtained. Thus, the famous fourth order Euler equation is expanded. |
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| Keywords: | Second order linear differential equation with variable coefficients Self-variable transformation New solv-able type General solution |
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