摘要
本文主要是介绍几种特殊类型的一阶微分方程的解法.一种是在一阶线性微分方程中,利用分部积分法,得到解的公式.要比一阶线线性微分方程的通解公式少了一次积分的计算,因而更加简便;另一种是在未解出导数的一阶方程中,在拉格朗日方程、克策洛方程解法的基础上更加广泛的推广.
This paper mainly introduces solving processes of several kinds of first order differential equations. In linear first-order differential equations,this paper uses integration by parts to obtain the solving formula. This calculation is simpler than that of the general integral formula. In unsolved derivative first-order differential equations, this paper is based on Lagrange equation and Clairaut equation, and popularizes them.
关键词
微分方程
分部积分法
通解
linear first-order differential equation
integration by parts
Lagrange equation
Clairaut equation
