| 二阶非线性微分方程Riccati方程的解法及应用 |
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| 引用本文： | 李晓琴.二阶非线性微分方程Riccati方程的解法及应用[J].聊城大学学报(自然科学版),2012,25(2):19-21. |
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| 作者姓名： | 李晓琴 |
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| 作者单位： | 甘肃民族师范学院数学系,甘肃合作,747000 |
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| 摘 要： | 利用两类Riccati方程z′=z2-a(x)z+b(x)的求解公式,给出了两类二阶非线性微分方程的通解,应用这些只与方程系数a(x)与b(x)相关的求解公式,求通解过程十分简捷.
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| 关 键 词： | 二阶非线性微分方程 通积分 Riccati方程 应用 |
A Riccati Equation Approach to Second-order Nonlinear Differential Equation and It＇s Applications |
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| LI Xiao-qin.A Riccati Equation Approach to Second-order Nonlinear Differential Equation and It＇s Applications[J].Journal of Liaocheng University:Natural Science Edition,2012,25(2):19-21. |
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| Authors: | LI Xiao-qin |
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| Institution: | LI Xiao-qin(Department of Mathematics,Gansu Normal University for Nationalities,Hezuo 747000,China) |
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| Abstract: | According to the solution of two class Riccati equations,the author considers the general solution of the two class Nonlinear Second Order Differential Equations,The process of using these formulas only with and to find the general solution of such differential equations is forthright. |
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| Keywords: | second-order change coefficient nonlinear differential equations Riccati equations general solution transform |
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