分组得:xy^2dx-xdx+yx^2dy-ydy=0或:(2xy^2dx+2yx^2dy)-2xdx-2ydy=0即:d(x^2y^2)-d(x^2)-d(y^2)=0通解为:x^2y^2-x^2-y^2=C或::(x^2-1)(y^2-1)=C