| 一类常微分方程的可积判据 |
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| 引用本文： | 王金秀. 一类常微分方程的可积判据[J]. 湖南文理学院学报(自然科学版), 1999, 0(4) |
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| 作者姓名： | 王金秀 |
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| 作者单位： | 湖南纺织高等专科学校!湘潭，411104 |
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| 摘 要： | 给出了一类非线性常微分方程的可积充分条件，它至少概括了一阶线性方程、Bernoulli方程等一些古典的可积类型，由它可导出Riccati方程和二阶线性方程的一系列新的、实用的可积性结果和可积类型。纠正了前人某些结果的错误。
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| 关 键 词： | 常微分方程 可积 通解 |
The Integrable Criterion of a Sort of Ordinary Differential Equations |
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| Wang Jinxiu. The Integrable Criterion of a Sort of Ordinary Differential Equations[J]. Journal of Hunan University of Arts and Science:Natural Science Edition, 1999, 0(4) |
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| Authors: | Wang Jinxiu |
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| Abstract: | An integrable sufficient condition of a solt of nonlinear differential equations is proposed in this paper, which generalizes at least some classical integrable typpes, such as first - order linear equation. Bemoulli equahon. From it deriver a series of netw practical integrable resuls and types of foccati equation and second - order linear equation. Moreover, some mistakes in other re-searchers' results are pointed out and corrected. |
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| Keywords: | ordinary differential equation integrable general solution |
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