| 一类一阶常微分方程的推广及应用 |
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| 引用本文： | 冯录祥.一类一阶常微分方程的推广及应用[J].河南科学,2012,30(5):529-531. |
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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： | 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.推广了一阶常微分方程及Riccati方程的有关可积性结果,拓展了一阶常微分方程的可积性范围,并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 Its Application to Promote |
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| Feng Luxiang.A Class of First Order Differential Equation and Its Application to Promote[J].Henan Science,2012,30(5):529-531. |
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| Authors: | Feng Luxiang |
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| Institution: | Feng Luxiang(Department of Mathematics,Baoji University of Arts and Sciences,Baoji 721013,Shaanxi China) |
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| Abstract: | Using variable transformation method,a class of first order ordinary differential equation and general solution of the conditions were obtained.Which generalizes the first order ordinary differential equations and the related Riccati equation integrability result,has developed a 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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