| 一类一阶常微分方程的可积性条件及应用 |
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| 引用本文： | 冯录祥.一类一阶常微分方程的可积性条件及应用[J].中央民族大学学报(自然科学版),2012,21(1):32-36. |
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| 作者姓名： | 冯录祥 |
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| 作者单位： | 宝鸡文理学院数学系,陕西宝鸡,721013 |
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| 基金项目： | 陕西省教育厅科研计划项目，宝鸡文理学院重点科研资助项目 |
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| 摘 要： | 本文利用变量变换的方法,给出一类一阶常微分方程的可积性条件及其通解公式.它包含了传统和现代一阶常微分方程及Riccati方程的有关可积性结果,进一步拓展了一阶常微分方程的可积性范围.最后举例验证公式的正确性.
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| 关 键 词： | 一阶常微分方程 Riccati方程 可积性 参数解 |
A Class of First Order Differential Equation and Application of the Integrability Conditions |
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| FENG Lu-xiang.A Class of First Order Differential Equation and Application of the Integrability Conditions[J].Journal of The Central University for Nationalities(Natural Sciences Edition),2012,21(1):32-36. |
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| Authors: | FENG Lu-xiang |
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| Institution: | FENG Lu-xiang(Department of Mathematics,BaojiUniversity of Arts and Sciences,Baoji 721013,China) |
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| Abstract: | Using variable transformation method,the author obtains a class of first order Ordinary Differential Equation and General Solution of the conditions.It includes traditional and modern first-order ordinary differential equations and the related Riccati equation integrability results,further expansion of the first order ordinary differential equations Integrable range.Finally,an example verified the correctness of the formula. |
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| Keywords: | First-order ordinary differential equations Riccati differential equation ntegrability Parameter solution |
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