线性微分方程的微分算子级数解法

Differentiator Series Solution of Linear Differential Ordinary Equation

1.
Applied Pansystems Institute, Chongqing University of Architecture and Engineering, Chongqing 400045, P. R. China;
2.
Chongqing Jiaotong Institute, Chongqing 400074, P. R. China

摘要: 介绍了微分算子级数法及其求解线性常微分方程通解、特解的原理、方法和实例.这个方法和其它解法的差别,在于不借助其它学科知识的启示,直接通过方程中微分算子的运算求出方程的特解或通解.
- 线性微分方程 /
- 微分算子级数法 /
- 通解 /
- 特解
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.
- linear ordinary differential equation /
- differentiator series method /
- special solution /
- general solution

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