`x dy/dx+y=xy^2`

The solution of the equation dy/dx=x^3y^2+xy is (A) x^2y-2y+1=cye^(-x^2/2) (B) xy^2+2x-y=ce^(-y/2) (C) x^2y-2y+x=cxe^(-y/2) (D) none of these

Find dy/dx if y= xy

(1-x^(2))(dy/dx)+xy=xy^(2)

The solution x^2( dy )/( dx) = x^2 + xy + y^2 is :

Solve the differential equation : (dy)/(dx)=(x^(2)-y^(2))/(xy) .

Solve the following differential equations (dy)/(dx)=(x^(2)+xy+y^(2))/(x^(2))

Show that the differential equation x^(2)(dy)/(dx) = x^(2)+ xy + y^(2) is homogeneous differential equation. Also find its general solution.

The solution of the ( dy )/(dx) = (xy+y)/(xy+x) is :

x^2(dy/dx)^2-2xy dy/dx+2y^2-x^2=0

Solve xy(dy)/(dx)=x^2+2y^2