| 几类变系数常微分方程通解的求法 |
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| 引用本文： | 王小才,吴延东.几类变系数常微分方程通解的求法[J].淮阴师范学院学报(自然科学版),2011,10(6):476-481,486. |
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| 作者姓名： | 王小才 吴延东 |
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| 作者单位： | 淮阴工学院数理学院,江苏淮安,223003 |
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| 摘 要： | 利用几种变换方法,给出了一些具有特殊形式的变系数微分方程求解方法,并通过实例说明了方法的可行性,有效扩充了变系数微分方程可解范围.
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| 关 键 词： | 常微分方程 变系数 通解 变换 特征方程 |
On General Solutions to Differential Equations Several Classes of Ordinary with Variable Coefficients |
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| WANG Xiao-cai,WU Yan-dong.On General Solutions to Differential Equations Several Classes of Ordinary with Variable Coefficients[J].Journal of Huaiyin Teachers College(Natrual Science Edition),2011,10(6):476-481,486. |
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| Authors: | WANG Xiao-cai WU Yan-dong |
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| Institution: | (Faculty of Mathematics and Physics,Huaiyin Institute of Technology,Huaian Jiangsu 223003,China) |
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| Abstract: | In this paper,we give some methods to find the general solutions for several special forms of ordinary differential equations with variable coefficients.Moreover,we give some examples to illustrate the feasibility of our methods.Hence,our results effectively extend the solvable range for the variable coefficient differential equations. |
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| Keywords: | ordinary differential equations variable coefficients general solutions transformation the characteristic equation |
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