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一个变系数微分方程的多种解法
引用本文:邢顺来,李志斌,李静.一个变系数微分方程的多种解法[J].山东电大学报,2010(1):64-65.
作者姓名:邢顺来  李志斌  李静
作者单位:[1]济南大学理学院,山东济南250022 [2]华东师范大学计算机系,上海200062 [3]山东莘县疾病预防控制中心,山东聊城252400
摘    要:通过先变形或变换,然后利用比较系数法、常数变易法、全微分法、求欧拉方程的方法、已知一个解求通解的公式等给出一个变系数微分方程的多种解法。

关 键 词:特解  通解  欧拉方程  线性微分方程

A Few Solutions of a Variable Coefficient Differential Equation
XING Shun-lai,LI Zhi-bin,LI Jing.A Few Solutions of a Variable Coefficient Differential Equation[J].Journal of Shandong TV University,2010(1):64-65.
Authors:XING Shun-lai  LI Zhi-bin  LI Jing
Institution:1. School of Science , University of Jinan, Jinan Shandong 250022; 2. Department of ComPuter Science East Normal University Shanghai 20062 ; 3. Center of Disease Prevention and Control of Shen County Shandong Province, Liaocheng Shandong 252400)
Abstract:It is given to a few solutions of a variable coefficient differential equation , by the method of undetermined coefficients, the method of variation of parameters, the method of all differential, the method of solving Euler Equations, the method of reduction of order, after transforming the variable coefficient differential equation.
Keywords:Special solutions  General solutions  Eular Equations  Linear differential equation
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