| 一阶微分方程积分因子存在性及应用 |
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| 引用本文： | 罗志敏,莫照发.一阶微分方程积分因子存在性及应用[J].玉林师范学院学报,2011(5):37-40. |
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| 作者姓名： | 罗志敏 莫照发 |
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| 作者单位： | 罗定职业技术学院教育系; |
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| 基金项目： | 广东省教育科研“十一五”规划研究项目,项目号:2010tik337 |
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| 摘 要： | 讨论了一阶微分方程积分因子的存在性问题。给出了一类一阶微分方程存在齐次多项式积分因子的一组充分必要条件,并且给出具体例子说明了其应用,丰富了微分方程的解法。
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| 关 键 词： | 全微分方程 积分因子 通解 齐次多项式 |
The Existence and Application of Some Special Integeral Factor about First Order Differential Equation |
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| LUO Zhi-min,MO Zhao-fa.The Existence and Application of Some Special Integeral Factor about First Order Differential Equation[J].Journal of Yulin Teachers College,2011(5):37-40. |
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| Authors: | LUO Zhi-min MO Zhao-fa |
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| Institution: | LUO Zhi-min,MO Zhao-fa(Department of Education,Luoding Polytechnic,Luoding,Guangdong 527200) |
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| Abstract: | The existeence of integeral faceor for a kind of the first order differential equation.A set of the sufficient and necessarry condition of the existence of homogeneous polynomial integeral factors for the system are obtained.Finally,an example is given. |
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| Keywords: | fully differential equation integeral factor general resolution formula homogeneous polynomial |
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