(x^2+2xy-y^2)dx+(y^2+2xy-x^2)dy=0 当x =1时 y =5 求特接

(x^2+2xy-y^2)dx+(y^2+2xy-x^2)dy=0 当x =1时 y =5 求特接 dy/dx=1+x+y^2+xy^2 x^2+xy+y^3=1,求dy/dx 设xy-xe^(y^2)-x=-2,则当x=1,y=0时,dy/dx= 求齐次方程y(x^2-xy+y^2)dx＋x（x^2-xy+y^2）dy=0 解微分方程y(x^2-xy+y^2)+x(x^2+xy+y^2)dy/dx=0 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 解微分方程 (x^2y^3+xy)dy=dx dy/dx=(x^4+y^3)/xy^2 dy/dx=(x+y^3)/xy^2