求齐次方程y(x^2-xy+y^2)dx＋x（x^2-xy+y^2）dy=0.求通解

dy/dx=y^2/(x-xy)是齐次方程吗 (x^3+y^3)dx-3xy^2dy=0求齐次方程的通解 求齐次方程y(x^2-xy+y^2)dx＋x（x^2-xy+y^2）dy=0.求通解 求齐次方程y(x^2-xy+y^2)dx＋x（x^2-xy+y^2）dy=0求其通解 求方程(x-2xy-y^2)dy+y^2dx=0的通解 求齐次微分方程dy/dx=y^2/xy-x^2 设y=y(x)由方程x^2-sin(xy)=2y确定,求dy/dx 齐次方程通解求其次方程y^2+x^2(Dy/Dx)=xy(Dy/Dx)的通解, x^2(dy/dx)=xy-2y^2求通解求一阶方程的通解x^2(dy/dx)=xy-2y^2 y/x=ln(xy) 求dy/dx(xy-y^2)/(xy+x^2) 式子转化:y^2+x^2(dy/dx)=xy(dy/dx)y^2+x^2(dy/dx)=xy(dy/dx) 原方程可写成dy/dx=y^2/(xy-x^2) 对怎么分离dy/dx和y^2/(xy-x^2) 能说下吗, 求方程(y^2+xy^2)dx+(x^2-yx^2)dy=0的通解 齐次方程（xy-2y^2）dx-x^2dy=0的通解 (y^2-2xy)dx+x^2dy=0急!齐次方程! (x^2y^2+xy)dy/dx=1是伯努利方程,请问如何变形进行判断? 方程3xy^2dy=(y^3-x^2)dx的通解怎么求? 求方程dy/dx=6y/x-xy^2的通解 设函数Y=f（x）由方程xy+y^2-2x=0,则dy/dx=?