| 几类变系数二阶线性微分方程的通解 |
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| 引用本文： | 倪华,张剑梅,张丽薇.几类变系数二阶线性微分方程的通解[J].大学数学,2021,37(1):82-87. |
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| 作者姓名： | 倪华 张剑梅 张丽薇 |
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| 作者单位： | 江苏大学 理学院,江苏 镇江 212013;江苏大学 理学院,江苏 镇江 212013;苏州文昌实验中学校,江苏 苏州 215151 |
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| 基金项目： | "新工科"建设下大学数学教学改革的探讨 |
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| 摘 要： | 研究了几类变系数二阶线性微分方程,利用变量代换法将其化为可积方程,从而得到二阶线性微分方程的通解.
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| 关 键 词： | 二阶线性微分方程 变量代换法 通解 |
General Solution of Second Order Linear Differential Equation |
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| NI Hua,ZHANG Jian-mei,ZHANG Li-wei.General Solution of Second Order Linear Differential Equation[J].College Mathematics,2021,37(1):82-87. |
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| Authors: | NI Hua ZHANG Jian-mei ZHANG Li-wei |
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| Institution: | (Faculty of Science, Jiangsu University, Zhenjiang Jiangsu 212013, China;Suzhou Wenchang Experimental Middle School, Suzhou Jiangsu 215151, China) |
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| Abstract: | Several kinds of second order linear differential equations are studied.By the method of variable substitution,they are transformed into the equations whose general solutions can be solvable,hereby the general solution of the second order linear differential equation can be obtained. |
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| Keywords: | second order linear differential equation variable transformation method general solution |
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