旋转极小曲面中微分方程通解的解法

摘要

[Abstract ]:Analytical solution(i.e.general solution)method of solving differential equations is very complicated, the study of differential equations in the field of mathematics focuses on several different aspects,but most of them are concerned with the solution of the differential equation.Nowadays,only a few simple analytical solution differential equations can be obtained.Even if it does not find its analytical solution,some properties of the solution can be con-firmed.This paper gives a general solution of differential equation in rotating minimal surface by using add and subtract elimination method,method for the general solution of differential equation and some math skills.Our method is simple and easy to understand compared with the solution of this equation in the other literature.%微分方程解析解（即通解）的求解方法十分复杂，数学领域对微分方程的研究着重在几个不同的方面，但大多数都是关心微分方程的解。只有少数简单的微分方程可以求得解析解。不过即使没有找到其解析解，仍然可以确认其解的部份性质。本文用加减消元法、微分方程解析解的求法及一些数学技巧给出了旋转极小曲面中微分方程的通解。和其他文献中该方程的解法进行比较，本文的方法更加简单易懂。