Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (8): 880-887.

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DIFFERENTIATOR SERIES SOLUTION OF LINEAR DIFFERENTIAL ORDINARY EQUATION

Ke Honglu1, Xie Hexi2   

  1. 1. Applied Pansystems Institute, Chongqing University of Architecture and Engineering, Chongqing 400045, P R China;
    2. Chongqing Jiaotong Institute, Chongqing 400074, P R China
  • Received:1998-04-02 Revised:1999-01-25 Online:1999-08-18 Published:1999-08-18

Abstract: In this paper, the principle techinique of the differentiator method, and some examples using the method to obtain the general solution and special solution of the differential equation are introduced. The essential difference between this method and the others is that by this method special and general solutions can be obtained directly with the operations of the differentor in the differential equation and without the enlightenment of other scientific knowledge.

Key words: linear ordinary differential equation, differentiator series method, special solution, general solution

2010 MSC Number: 

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