| 二阶常系数非齐次线性微分方程的解法及教学 |
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| 引用本文： | 高巧琴.二阶常系数非齐次线性微分方程的解法及教学[J].吕梁高等专科学校学报,2009,25(1). |
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| 作者姓名： | 高巧琴 |
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| 作者单位： | 吕梁高等专科学校,数学系,山西,离石,033000 |
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| 基金项目： | 吕梁高等专科学校自然科学基金 |
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| 摘 要： | 在讨论求解二阶常系数线性微分方程的比较系数法、常数变易法的基础上,导出了降阶法.对比分析它们在解决一些实际问题的基本思想和方法策略,阐述了所述内容在教学中对学生进行思维能力训练的地位和作用.
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| 关 键 词： | 比较系数法 常数变易法 降阶法 |
The Solution and Teaching of Second Order Non-Homogeneous Linear Differential Equation With Constant Coefficient |
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| GAO Qiao-qin.The Solution and Teaching of Second Order Non-Homogeneous Linear Differential Equation With Constant Coefficient[J].Journal of Luliang Higher College,2009,25(1). |
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| Authors: | GAO Qiao-qin |
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| Institution: | GAO Qiao-qin(Department of Mathematics; Lvliang Higher College; Lishi 033000; China); |
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| Abstract: | The present paper compares and analyzes some ideas and strategies in solving some practical problems, elaborates its position and effect in training students' thinking ability in the teaching, on the basis of the method of comparison coefficients and method of variation of constant for the solution of the second order non-homogeneous linear ordinary differential equation with constant coefficient, as well as the method of reduction of order. |
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| Keywords: | method of comparison coefficients method of variation of constants method of reduction of order |
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