微分方程基本概念学习的几个误区

Common Mistakes in Understanding Definitions of Differential Equations and Their Solutions

指出常微分方程的微分形式定义不够严密,对通解中常数任意性的理解不可绝对化,忽视积分公式绝对值符号可造成方程部分解的遗失,并以实例说明方程各类解之间的区别与转换.

To help students well understand some basic concepts of differential equations, this paper discusses the definitions of the differential form of differential equations and some common mistakes in solving differential equations by integration. The relation between a particular solution and a general solution is also illustrated by using classic examples.