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一类高阶微分方程的通积分求解方法
引用本文:薛婷婷,刘文斌. 一类高阶微分方程的通积分求解方法[J]. 五邑大学学报(自然科学版), 2012, 0(1): 25-30
作者姓名:薛婷婷  刘文斌
作者单位:中国矿业大学理学院。江苏徐州221008
基金项目:中央高校理科专项基金资助项目(2010LKSX09)
摘    要:采用函数的迭代方法,将一类高阶微分方程的通积分求解转化为微分方程组的求解,应用克莱姆法则及积分法,求得原微分方程的通积分公式,推广了有关文献的结果.

关 键 词:高阶微分方程  函数迭代法  克莱姆法则  通积分公式

A Kind of General Integral Solution for Higher Order Differential Equations
XUE Ting-ting,LIU Wen-bin. A Kind of General Integral Solution for Higher Order Differential Equations[J]. Journal of Wuyi University(Natural Science Edition), 2012, 0(1): 25-30
Authors:XUE Ting-ting  LIU Wen-bin
Affiliation:(College of Sciences, China University of Mining and Technology, Xuzhou 221008, China)
Abstract:This paper, adopting the method of function iteration, translates a kind of general integral solution for higher order differential equations into the solution for differential equations, applies the Cramer law and the inte formulas, and popularizes gral the method of original differential relevant literature results. equations to obtain general integral
Keywords:higher order differential equations  method of function iteration  Cramer law  generalintegral formulas
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