Maple软件在常微分方程教学中的应用

The Application of Maple Software in Teach-ing Ordinary Differential Equation

摘要: Maple软件是一个非常重要的数学软件之一，具有强大的符号计算和数值计算能力。本文最主要的目的是将Maple软件应用在常微分的定性分析和求解的教学过程中。一方面，通过Maple软件绘制相图，通过平面相图，更容易获得微分系统的平衡点的中心点和鞍点。另外一方面，基于Maple软件的强大计算功能，可以很容易获得常微分方程的通解。

Abstract: Maple software is one of the most important mathematical software, which has powerful symbolic and numerical computing capabilities. The main purpose of this article is to apply Maple software in the teaching process of qualitative analysis and solution of ordinary differential equations. On the one hand, drawing a phase diagram using Maple software makes it easier to obtain the center and saddle points of the equilibrium point of the differential system through a planar phase diagram. On the other hand, based on the powerful computing capabilities of Maple software, it is easy to obtain general solutions to ordinary differential equations.