| 常数变易法求解常微分方程 |
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| 引用本文： | 李治远,朱桂玲.常数变易法求解常微分方程[J].高师理科学刊,2016(4):5-10. |
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| 作者姓名： | 李治远 朱桂玲 |
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| 作者单位： | 云南大学数学与统计学院,云南昆明,650500 |
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| 基金项目： | 国家自然科学基金资助项目(11561075) |
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| 摘 要： | 深入探讨了常数变易法求解一阶非线性常微分方程和二阶非线性常微分方程,并将所探讨的结果进行系统地分析、比较、归纳和总结,给出了每种解法的特点和使用条件.
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| 关 键 词： | 常微分方程 常数变易法 二阶非线性 |
The method of constant variation for solving ordinary differential equation |
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| LI Zhi-yuan;ZHU Gui-ling.The method of constant variation for solving ordinary differential equation[J].Journal of Science of Teachers＇College and University,2016(4):5-10. |
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| Authors: | LI Zhi-yuan;ZHU Gui-ling |
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| Institution: | LI Zhi-yuan;ZHU Gui-ling;School of Machematic and Statistics,Yunnan University; |
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| Abstract: | Discusses deeply the method of constant variationfor solvingthe first order nonlinearordinary differential equation and the second-order nonlinearordinary differential equation,explores the results by systematically analyze,compare and summary,and gives the characteristics and conditions of each method finally. |
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| Keywords: | ordinary differential equation method of constant variation second-order nonlinear |
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