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用算子升阶法求一类微分方程的特解
引用本文:肖氏武.用算子升阶法求一类微分方程的特解[J].数学学习,2010,13(4):61-62.
作者姓名:肖氏武
作者单位:襄樊学院数学与计算机科学学院,湖北襄樊441053
摘    要:利用n阶常系数线性微分方程的算子升阶法,可以将非齐次微分方程升阶为齐次微分方程进行求解;实例说明该方法的应用.

关 键 词:常系数线性非齐次方程  算子升阶法  特解

Solving a Nonhomogeneous LDE with Operator Order-increasing Method
XIAO Shi,Wu.Solving a Nonhomogeneous LDE with Operator Order-increasing Method[J].Studies In College Mathematics,2010,13(4):61-62.
Authors:XIAO Shi  Wu
Institution:(School of Mathematics and Computer Science, Xiangfan University, Xiangfan 441053, PRC)
Abstract:With the operator order-increasing method, a n-th order linear nonhomogeneous ordinary defferential equation with constant coefficients can be changed into a higher order homogeneous equation and then get sovled. An example is given to show how this method works.
Keywords:nonhomogeneous LDE with constant coefficients  operator order-increasing method  particular solution  
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