| 一阶线性微分方程的积分因子解法 |
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| 引用本文： | 刘海浪,赵临龙. 一阶线性微分方程的积分因子解法[J]. 高师理科学刊, 2010, 30(2): 53-54,65. DOI: 10.3969/j.issn.1007-9831.2010.02.015 |
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| 作者姓名： | 刘海浪 赵临龙 |
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| 作者单位： | 安康学院,数学系,陕西,安康725000 |
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| 基金项目： | 安康学院大学生科技创新项目(2008akxydxs03;2009AKXYDXS06);;安康学院重点扶持学科《基础数学》建设项目(AZXZ0107);;安康学院重点项目(2008akxy029) |
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| 摘 要： | 对于一阶线性常微分方程P(x,y)dx+Q(x,y)dy=0,给出2种只依赖xayb和(xa+yb)形式的积分因子存在的充分必要条件,有助于积分因子的求解.
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| 关 键 词： | 常微分方程 积分因子 通解 |
Discussion on the integral factor of the first-order linear differential equations |
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| LIU Hai-lang,ZHAO Lin-long. Discussion on the integral factor of the first-order linear differential equations[J]. Journal of Science of Teachers＇College and University, 2010, 30(2): 53-54,65. DOI: 10.3969/j.issn.1007-9831.2010.02.015 |
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| Authors: | LIU Hai-lang ZHAO Lin-long |
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| Affiliation: | Department of Mathematics;Ankang University;Ankang 725000;China |
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| Abstract: | For a first-order linear ordinary differential equations P (x,y)dx+ Q(x,y)dy=0,gave the necessary and sufficient conditions on which the equations P(x,y)dx+ Q(x,y)dy=0have integral factor which only rely on xayb or xa + yb,enriched the solution of integral factor. |
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| Keywords: | ordinary differential equation integral factor general solution |
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