对于微分方程M(x,y)dx+N(x,y)dy=0,如果存在连续可微函数μ(x,y),可以使μMdx+μNdy=0成为恰当方程,即μMdx+μNdy=du,则称μ为该微分方程的积分因子。求解积分因子的常用方法主要由观察法、积分法和分组法。
积分因子 integral factor ; integrating function
积分因子法 Method of Integrating Factor ; Integral Factor Method
近似积分几何因子 integrated pseudo geometrical factor
积分径向几何因子 integrated radial geometrical factor
积分纵向几何因子 integrated vertical geometrical factor
横向积分几何因子 integrated radial geometrical factor
积分剪切因子 ISF
径向积分几何因子 integrated radial geometric factor
积分因子就是为了解决这个问题而引进的概念。
Integrating factor to solve this problem is to introduce the concept.
本文就恰当微分方程的积分因子问题进行推广,得出两个定理。
This article makes an extension on the problem of integral factor in the total differential equation and has drawn two theorems.
讨论了解常微分方程的积分因子法在极限理论、微分学、积分学中的一些应用。
Some simple application of method of integrating factor that solve ordinary differential equation is discussed on the limit theory, differential and integral.
应用推荐