| 一类可化为变量分离微分方程的题型推广 |
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| 引用本文： | 陈思,陈瑶,魏春强.一类可化为变量分离微分方程的题型推广[J].高师理科学刊,2013(3):27-28. |
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| 作者姓名： | 陈思 陈瑶 魏春强 |
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| 作者单位： | 安康学院 数学与统计系,陕西 安康,725000 |
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| 摘 要： | 对一类可化为变量分离方程的微分方程dy/dx=(a1x+b1y+c1)/(a2x+b2y+c2)(a1,a2,b1,b2,c1,c2均为常数)进行了次数上的推广,得到方程dy/dx=(a1xα+b1xβyγ+cxβ)/(a1yα+b1xγyβ-cyβ)(β+γ=α,β=γ-1),并给出其通用解法.
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| 关 键 词： | 微分方程 变量分离 推广 |
The promotion of a kind of transformable separation of variables differential equations |
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| CHEN Si
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CHEN Yao
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WEI Chun-qiang.The promotion of a kind of transformable separation of variables differential equations[J].Journal of Science of Teachers＇College and University,2013(3):27-28. |
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| Authors: | CHEN Si CHEN Yao WEI Chun-qiang |
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| Institution: | (Department of Mathematics and Statistics,Ankang University,Ankang 725000,China) |
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| Abstract: | Promoted the index number of the transformable separation of variables differential equationsd dy/dx=(a1x+b1y+c1)/(a2x+b2y+c2)(a1,a2,b1,b2,c1,c2 are constant),obatained the differential equations dy/dx=(a1xα+b1xβyγ+cxβ)/(a1yα+b1xγyβ-cyβ)(β+γ=α,β=γ-1),and the general solution was given. |
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| Keywords: | differential equation separation of variables promote |
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