【摘要】 给出了一阶微分方程f1(x+y)dx+f2(x+y)dy=0的积分因子的形式及一阶微分方程M(x,y)dx+N(x,y)dy=0具有形如U(x,y)=F(xayb)、U(x,y)=G(xa+yb)两种形式的积分因子的充要条件.更多还原

【Abstract】 We showed the form of the integrating factor of the first order differential equation,f1(x+y)dx+f2(x+y)dy=0. We also showed the sufficient and necessary condition for the first order differential equation,M(x,y)dx+N(x,y)dy=0 to have two integrating factors of the forms μ(x,y)=F(xayb) and μ(x,y)=G(xa+yb).更多还原