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

求通解:(xy-x^2)dy=y^2dx x^2+xy+y^3=1,求dy/dx y/x=ln(xy) 求dy/dx(xy-y^2)/(xy+x^2) 1.求（xy^2+x）dx+（xy^2-y）dy=0的通解 求方程组dx/(x+y)=dy/(x-y)=dz / (y^2-2xy-x^2)的通积分 (x+xy^2)dx+(y-x^2y)dy=0求可分离变量的通解 求(x+xy^2)dx-(x^2y+y)dy=0的通解!~ 求微分方程(xy^2-x)dx+(x^2y+y)dy=0的通解 求解微分方程 x^2*dy/dx=xy-y^2 求齐次微分方程dy/dx=y^2/xy-x^2 dy/dx=xy/x^2-y^2 dy/dx=1+x+y^2+xy^2 微分方程求解 (x^2y^3+xy)dy=dx 解微分方程 (x^2y^3+xy)dy=dx dy/dx=(x+y^3)/(xy^2) 微分方程求解 (x^2y^3+xy)dy=dx dy/dx=(x+y^3)/xy^2 常微分方程dy/dx=(x^3+xy^2)/y