原题是:xdy/dx+y=xy^2,怎么求y解: 已知 xy'+y=xy^2(xy)'=xy^2-(xy)'/(xy)^2=-1/x(1/(xy))'=-1/x1/(xy)=-ln|x|+C所以 y=1/(Cx-xln|x|)希望对你有点帮助!