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| 二阶常系数非齐次线性微分方程的特解公式 | |
| 引用本文： | 朱德刚. 二阶常系数非齐次线性微分方程的特解公式[J]. 高等数学研究, 2010, 13(3): 15-16 |
| 作者姓名： | 朱德刚 |
| 作者单位： | 南京林业大学应用数学系,南京,210037 |
| 基金项目： | 南京林业大学科技创新基金 |
| 摘 要： | 通过引入行列式符号并定义一种形式积分,给出求解二阶常系数非齐次线性微分方程特解的一个公式,并进一步将该公式推广到三阶方程的情况. |
| 关 键 词： | 微分方程 特解 行列式 |
Formulas for Particular Solutions of 2nd-order Linear Non-homogeneous Ordinary DE with Constant Coefficients |
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| ZHU De Gang. Formulas for Particular Solutions of 2nd-order Linear Non-homogeneous Ordinary DE with Constant Coefficients[J]. Studies In College Mathematics, 2010, 13(3): 15-16 | |
| Authors: | ZHU De Gang |
| Affiliation: | (Department of Applied Mathematics, Nanjing Forestry University, Nanjing, 210037, PRC) |
| Abstract: | By introducing the notation of determinant and defining a kind of formal integration, this paper develops simple formulas for particular solutions of 2nd-order and 3rd-order linear non-homogeneous ordinary differential equations with constant coefficients. |
| Keywords: | differential equation particular solution determinant. |
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