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一类二阶常微分方程组的特解公式
引用本文:吴幼明,孔碧洁,何小媚.一类二阶常微分方程组的特解公式[J].佛山科学技术学院学报(自然科学版),2006,24(4):7-11.
作者姓名:吴幼明  孔碧洁  何小媚
作者单位:佛山科学技术学院,信息科学与数学系,广东,佛山,528000
摘    要:采用待定系数法,给出了非齐次项为三角函数与指数函数乘积的三维二阶常系数线性微分方程组的特解公式,并通过算例验证了微分方程组的特解公式的正确性。

关 键 词:常系数  微分方程组  通解公式  待定系数法  特解
文章编号:1008-0171(2006)04-0007-05
收稿时间:2006-06-01
修稿时间:2006年6月1日

The particular solutions to one kind of systems of second order differential equations with constant coefficients
WU You-ming,KONG Bi-jie,HE Xiao-mei.The particular solutions to one kind of systems of second order differential equations with constant coefficients[J].Journal of Foshan University(Natural Science Edition),2006,24(4):7-11.
Authors:WU You-ming  KONG Bi-jie  HE Xiao-mei
Abstract:This paper is devoted to providing a particular solution to find a kind of systems of three-dimensional second order differential equations with constant coefficients by means of undetermined coefficients.The non-homogeneous terms of differential equations are the form of trigonometric function multiplied by exponential function.Through some examples,the particular solution formulas are validated.
Keywords:constant coefficients  differential equations  general solution formula  method of undetermined coefficient  particular solutions
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