| 黎卡提方程的两种变换 |
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| 引用本文： | 陈超,李仲佳. 黎卡提方程的两种变换[J]. 价值工程, 2010, 29(3): 62-62 |
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| 作者姓名： | 陈超 李仲佳 |
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| 作者单位： | 天津职业技术学院基础部,天津,300402;天津职业大学基础部,天津,300402 |
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| 摘 要： | 将黎卡提方程dy/dx+ay2=bxmm=0,-2,-4k/2k+1,-k4/2k-1,(k=1,2,…),通过适当的变换化为变量分离的方程;将黎卡提方程dy/dx=p(x)y2+q(x)y+r(x),通过适当的变换化为u'=r2+f(x)的形式。
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| 关 键 词： | 黎卡提方程 变量分离的方程 变换 |
Two Types Transformation of Riccati Equation |
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| Chen Chao,Li Zhongjia. Two Types Transformation of Riccati Equation[J]. Value Engineering, 2010, 29(3): 62-62 |
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| Authors: | Chen Chao Li Zhongjia |
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| Affiliation: | Chen Chao Li Zhongjia (Tianjin College of Vocational and Technical, Foundation Office, Tianjin 300402, China; Tianjin Vocational University, Foundation Office, Tianjin 300402, China ) |
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| Abstract: | Riccati equation dy/dx＋ay^2=bxmm=0,-2,-4k/2k-1,-4k/2k-1,（k=1,2,…）can be turn into variable to separate equation through proper transition. Riccati equation dy/dx=p（x）y^2＋q（x）y＋r（x） can be turn into u=r^2＋f（x） through proper transition. |
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| Keywords: | Riccati equation variable separable equation transformation |
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