| 关于一类特殊一阶常微分方程积分因子的探讨 |
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| 引用本文： | 张玮玮.关于一类特殊一阶常微分方程积分因子的探讨[J].安庆师范学院学报(自然科学版),2014(2):10-11. |
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| 作者姓名： | 张玮玮 |
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| 作者单位： | 安庆师范学院数学与计算科学学院; |
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| 基金项目： | 安徽省高等学校省级教研项目(2012jyxm364)资助 |
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| 摘 要： | 积分因子是常微分方程的一个重要概念，本文主要讨论了一种特殊类型的一阶常微分方程的积分因子存在的充要条件及积分因子的表达形式，并举例说明用积分因子求其通解。
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| 关 键 词： | 常微分方程 积分因子 充要条件 |
Discussion on the Integral Factor of the Specila First-Order Ord inary Differential Eq uations |
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| ZHANG Wei-wei.Discussion on the Integral Factor of the Specila First-Order Ord inary Differential Eq uations[J].Journal of Anqing Teachers College(Natural Science Edition),2014(2):10-11. |
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| Authors: | ZHANG Wei-wei |
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| Institution: | ZHANG Wei-wei (School of Mathematics and Computational Science, Anqing Teachers College, Anqing 246133, China) |
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| Abstract: | Integral factor is an important concept in the differential equations .In this paper, the necessary and sufficient condi-tions of existing integral factor in a special kind of first -order ordinary differential equations are discussed and the form of integral fac-tors is given.Using the integral factors , the general solutions have been derived.Examples are given to illustrate the effectiveness . |
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| Keywords: | ordinary differential equations integral factor necessary and sufficient condition |
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