| 用观察法求二阶变系数齐线性方程的非零特解 |
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| 引用本文： | 李中平.用观察法求二阶变系数齐线性方程的非零特解[J].数学学习,2010,13(3):24-25. |
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| 作者姓名： | 李中平 |
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| 作者单位： | 西华师范大学数学与信息学院,四川南充,637002 |
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| 基金项目： | 四川省教育厅科研基金项目，西华师范大学科研启动基金 |
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| 摘 要： | 主要用观察法求二阶变系数齐线性方程的非零特解.首先推广了欧拉方程和另外一个关于求非零特解的结论,其次在已有结果的情形外增添一些可用观察法求特解的情形.
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| 关 键 词： | 变系数 齐线性方程 特解 |
Nontrivial Particular Solutions to 2nd-order Homogeneous LDE with Variable Coefficients on Method of Observation |
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| LI Zhong Ping.Nontrivial Particular Solutions to 2nd-order Homogeneous LDE with Variable Coefficients on Method of Observation[J].Studies In College Mathematics,2010,13(3):24-25. |
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| Authors: | LI Zhong Ping |
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| Institution: | LI Zheng Ping (College of Mathematic and Information, China Wes Normal University, Nanchong 637002 ,Sichuan. PRC) |
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| Abstract: | Nontrivial particular solutions to second-order homogenous line differential equations with variable coefficients are obtai led by using method of observation. The Euler＇s equation and some results in another work cere extended. Some category of equations whose particular solutions can be solved via observa ion was added. |
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| Keywords: | variable coefficient homogel ous line differential equation particular solution |
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