| 一阶常微分方程若干求解技巧 |
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| 引用本文： | 冯世强,高大鹏,陈友军,张世禄.一阶常微分方程若干求解技巧[J].西华师范大学学报(哲学社会科学版),2011(2). |
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| 作者姓名： | 冯世强 高大鹏 陈友军 张世禄 |
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| 作者单位： | 西华师范大学数学与信息学院; |
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| 基金项目： | 四川省教育厅青年基金项目(10ZB018) |
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| 摘 要： | 一般的一阶常微分方程没有通用的初等解法,变量分离方程和全微分方程是一阶常微分方程中最基本的类型,文章以题为例介绍这两类方程求解过程中变换的技巧和规律.
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| 关 键 词： | 一阶常微分方程 变换 技巧 |
A Brief Discussion on Solution Skills for First-order Ordinary Differential Equation |
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| FENG Shi-qiang,GAO Da-peng,CHEN You-jun,ZHANG Shi-lu.A Brief Discussion on Solution Skills for First-order Ordinary Differential Equation[J].Journal of China West Normal University:Natural Science Edition,2011(2). |
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| Authors: | FENG Shi-qiang GAO Da-peng CHEN You-jun ZHANG Shi-lu |
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| Institution: | FENG Shi-qiang,GAO Da-peng,CHEN You-jun,ZHANG Shi-lu(School of Mathematics and Information,China West Normal University,Nanchong,Sichuan 637002,China) |
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| Abstract: | Generally speaking,first order ordinary differential equations have no universal elementary solution.The equation of separated variables and total differential equation are the most basic type of the first-order ordinary differential equation.Some skills and laws of transformation in the process of solution for these two kinds of equation are presented through examples. |
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| Keywords: | first-order ordinary differential equation transformation skill |
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