| 一类二阶变系数线性微分方程的算子解法 |
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| 引用本文： | 方书盛.一类二阶变系数线性微分方程的算子解法[J].汕头大学学报(自然科学版),2010,25(1):12-16,23. |
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| 作者姓名： | 方书盛 |
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| 作者单位： | 汕头市达濠第二中学,广东,汕头,515071 |
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| 摘 要： | 运用微分算子的理论和方法研究了二阶变系数线性微分方程的解法;在一定的条件下利用算子解法求出一类二阶变系数线性微分方程的通解;应用所得结果推导出已知类型方程可用算子解法求出通解的一些可积类型;举例说明使用算子解法求出已知类型方程通解的步骤和方法.
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| 关 键 词： | 二阶 变系数 算子解法 可积类型 |
The Operator Method to Solve a Type of Linear Differential Equations of the Second Order with Variable Coefficients |
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| FANG Shu-sheng.The Operator Method to Solve a Type of Linear Differential Equations of the Second Order with Variable Coefficients[J].Journal of Shantou University(Natural Science Edition),2010,25(1):12-16,23. |
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| Authors: | FANG Shu-sheng |
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| Institution: | FANG Shu-sheng(Dahao Second Middle School of Shantou,Shantou 515071,Guangdong,China) |
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| Abstract: | A technique of the operator to solve a type of linear differential equations of the second order with variable coefficients is given.The integrable type is discussed which is enabled to use the operator method to find the general solution of given differential equation. |
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| Keywords: | second order variable coefficients operator method integrable type |
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