求dy/dx=x+xy^/y+yx^满足初始条件y｜(下面是x=0)=2的特解．

(xy^2-x)dx-(y+yx^2)dy=0,求这个微分方程的通解. 求方程(y^2+xy^2)dx+(x^2-yx^2)dy=0的通解 求微分方程（y^2+xy^2)dx-(x^2+yx^2)dy=0,满足初始条件（y/x=1）=-1的特解 求dy/dx=x+xy^/y+yx^满足初始条件y｜(下面是x=0) =2的特解．^是2,2次方 求dy/dx=x+xy^/y+yx^满足初始条件y｜(下面是x=0)=2的特解． (x³-2xy²)dy+(2y³-3yx²)dx=0求通解 求微分方程DX分之DY加上YX方=0满足Y}X=1=1 求微分方程DX分之DY+YX方=0满足Y}X=1=1的特解 求方程dy/dx=(1+y^2)/(xy+yx^3)的解. 设函数Y=F(X)由方程Y=1+YX决定,求DY/DX 求 ∫L（-yx^2-2y）dx+（xy^2+x）dy L是逆时针方向的园x^2+y^2=a^2 L为x^2+y^2=4,计算∮(x-yx^2)dx+(xy^2)dy的值? 解微分方程y(x^2-xy+y^2)+x(x^2+xy+y^2)dy/dx=0答案yx=ce^[-arctan(y/x)] xy+㏑ y+㏑ x=0 求dy/dx xy=e^(x+y)求dy/dx 求dy/dx+y/x=e^(xy) 设sin(x+y)=xy,求dy/dx. x^2+xy+y^3=1,求dy/dx