| 变量代换法求解常微分方程 |
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| 引用本文： | 张海,谢秀娟.变量代换法求解常微分方程[J].安庆师范学院学报(自然科学版),2010,16(4):82-87. |
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| 作者姓名： | 张海 谢秀娟 |
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| 作者单位： | 安庆师范学院,数学与计算科学学院,安徽,安庆,246133;安庆师范学院,数学与计算科学学院,安徽,安庆,246133 |
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| 基金项目： | 安徽省教育厅自然科学研究基金项目 |
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| 摘 要： | 本文总结了变量代换法在常微分方程中的应用,借助恰当的变量代换将微分方程简化为可解类型,求出其通解或者特解,同时举出实例加以说明。
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| 关 键 词： | 常微分方程 变量变换法 通解 特解 |
Variable-Substitution Method Solving the Differential Equations |
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| ZHANG Hai,XIE Xiu-juan.Variable-Substitution Method Solving the Differential Equations[J].Journal of Anqing Teachers College(Natural Science Edition),2010,16(4):82-87. |
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| Authors: | ZHANG Hai XIE Xiu-juan |
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| Institution: | ZHANG Hai,XIE Xiu-juan(School of Mathematics and Computation Science,Anqing Teachers College,Anqing 246133,China) |
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| Abstract: | In this paper,we summarize the extensive applications of variable substitution method in ordinary differential equations.Using appropriate variable substitution,the ordinary differential equations are simplified to solvable type,and their general solutions or special solutions are solved.Meanwhile,some examples are given to illustrate applications of variable substitution method. |
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| Keywords: | ordinary differential equations variable-substitution method general solution special solution |
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