| 一类常系数微分方程组的通解 |
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| 引用本文： | 吴幼明,何小媚.一类常系数微分方程组的通解[J].四川理工学院学报(自然科学版),2006,19(2):68-71. |
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| 作者姓名： | 吴幼明 何小媚 |
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| 作者单位： | 佛山科学技术学院数学系,广东,佛山,528000 |
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| 基金项目： | 佛山科学技术学院校科研和教改项目 |
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| 摘 要： | 采用待定系数法,给出了一类非齐次项为二次多项式与指数函数之积的三维二阶常系数微分方程组的通解形式,并通过算例验证了特解公式的正确性。
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| 关 键 词： | 矩阵 微分方程 通解形式 特解公式 |
| 文章编号： | 1673-1549(2006)02-0068-04 |
| 修稿时间： | 2005年11月21 |
General Solution to One Kind of Systems of Ordinary Differential Equation with Constant Coefficients |
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| WU You-ming,HE Xiao-mei.General Solution to One Kind of Systems of Ordinary Differential Equation with Constant Coefficients[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2006,19(2):68-71. |
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| Authors: | WU You-ming HE Xiao-mei |
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| Abstract: | By the method of undetermined coefficients,we obtain the general solution form to one kind of systems of three-dimensional second order ordinary differential equation with constant coefficients,and the non-homogeneous terms of system of differential equation are from of quadratic polynomial multiplied by exponential function.And by some examples,the particular solution formulas are validated. |
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| Keywords: | matrix differential equation general solution form particular solution formula |
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