| 一类一阶非线性微分方程可积条件及通解表示 |
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| 引用本文： | 乙了. 一类一阶非线性微分方程可积条件及通解表示[J]. 贵州师范大学学报(自然科学版), 2011, 29(2): 91-93 |
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| 作者姓名： | 乙了 |
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| 作者单位： | 广东第二师范学院数学系,广东广州,510303 |
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| 摘 要： | 讨论一阶非线性微分方程dy/dx=p(x)y+q(x)(y+f(x))n+r(x),用化归思想得到该方程可积的充分条件及推导出若干可积类型.
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| 关 键 词： | 非线性微分方程 可积 充分条件 Riccati方程化归思想 |
Integrability conditions and general solutions of a kind of first order nonlinear differential equation |
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| YI Le. Integrability conditions and general solutions of a kind of first order nonlinear differential equation[J]. Journal of Guizhou Normal University(Natural Sciences), 2011, 29(2): 91-93 |
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| Authors: | YI Le |
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| Affiliation: | YI Le(Department of Mathematics,Guangdong No.2 Teachers College,Guangzhou,Guangdong 510303,China) |
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| Abstract: | The first order nonlinear differential equation dy/dx=p(x)y+q(x)(y+f(x))n+r(x) is studied.Some integrability sufficient conditions are obtained by reduction thinking method. |
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| Keywords: | nonlinear differential equation integrability sufficient condition riccati equation reduction thinking method |
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