| 变系数三阶线性微分方程的一个新的可解类型 |
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| 引用本文： | 张学元.变系数三阶线性微分方程的一个新的可解类型[J].上海第二工业大学学报,2003,20(2):1-6. |
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| 作者姓名： | 张学元 |
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| 作者单位： | 湖南工程学院数理系,湘潭,411104 |
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| 摘 要： | 通过自变量变换，将一类变系数三阶线性微分方程化为三阶常系数线性微分方程，从而得到变系数三阶线性微分方程的一个新的可解类型，推广了著名的三阶Eulcr方程。
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| 关 键 词： | 变系数三阶线性微分方程 自变量变换 三阶Euler方程 预解函数 预解常数 |
| 文章编号： | 1001-4543(2003)02-0001-06 |
| 修稿时间： | 2003年6月13日 |
A New Solvable type of Third Order Linear Differential Equation with Variable Coefficients |
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| ZHANG,Xue-yue.A New Solvable type of Third Order Linear Differential Equation with Variable Coefficients[J].Journal of Shanghai Second Polytechnic University,2003,20(2):1-6. |
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| Authors: | ZHANG Xue-yue |
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| Abstract: | In this paper, a kind of third order linear differential equation with variable coefficients is turned into third order linear differential equation with constant coefficients through self-variable transformation, then a new solvable type of third order linear differential equation with variable coefficients is obtained. Thus, the famous third order Euler equation is expanded. |
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| Keywords: | third order linear differential equation with variable coefficients self-variable transformation new solvable type general solution |
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