| 齐次型方程及其求解 |
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| 引用本文： | 胡劲松.齐次型方程及其求解[J].绵阳师范学院学报,2008,27(11). |
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| 作者姓名： | 胡劲松 |
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| 作者单位： | 西华大学数学与计算机学院,四川成都,610039 |
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| 摘 要： | 对一阶常微分方程中的齐次方程的推广形式——齐次型方程进行了研究，并将齐次方程的“变量变换”法求解过程推广应用到齐次型方程，从而证明了齐次型方程是可积方程，得到了一阶微分方程的几种新的可积类型，其中也包括部分黎卡提方程和贝努利方程。
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| 关 键 词： | 齐次方程 齐次型方程 变量变换法 可积方程 |
Equation of Homogenous Type and Its Solution |
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| HU Jin-song.Equation of Homogenous Type and Its Solution[J].Journal of Mianyang Normal University,2008,27(11). |
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| Authors: | HU Jin-song |
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| Abstract: | This paper studies the equation of homogenous type,which is the generalized form of homogenous e- quation in first-order differential equation.The procedure of solving homogenous differential equation by variable transformation method is generalized to solve equations of homogenous type.Meanwhile,the author proves that the e- quation of homogenous type is an integrable equation and gets some new integrable differential equations of first order, including Reeeati equation and Bernoulli equation. |
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| Keywords: | homogenous equation equation of homogenous type variable transformation integrable equation |
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