线性微分方程的降阶法

Solving Linear Differential Equations by Reduction of Order

提出线性微分方程的降阶法.在工科院校高数教材中若采用降阶法可以减少教材的篇幅,缩短教学时间,减轻学习难度.同时,还可利用数学软件求解线性微分方程,使高数教材贴近于现代计算技术.

This paper presents the method of reduction of order for linear differential equations. It shows that the approach has the potential of shortening the mathematical textbooks for engineering students, reducing the teaching time, and making learning easy. Moreover, using mathematical software in solving linear differential equations promotes textbook reform to meet the challenge of the modern computing technology.