期刊论文

中文

衡阳师范学院学报

1673-0313

2002

23

3

52-55

10.13914/j.cnki.cn43-1453/z.2002.03.015

本校为第一机构

给出了一阶微分方程M(x,y)dx+N(x,y)dy=0,具有1.μ(x,y)=F(ax+by),2.μ(x,y)=G(xy),3.μ(x,y)=exp[∫f(x)dx+∫g(y)dy]三种形式的积分因子的充要条件.

We shall show sufficient and necessary condition that first order differential equation M(x,y)dx+N(x,y)dy=0 have 1,μ(x,y)=F(ax+by),2,μ(x,y)-G(xy), 3,μ(x,y)=exp[∫f(x)dx+∫g(y)dy] three f...