`xy(dy)/(dx)=y+2`

A family of curves has the differential equation xy(dy)/(dx)=2y^(2)-x^(2) . Then, the family of curves is

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

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

The solution of 2xy (dy)/(dx) =1 + y^(2) is

x^(2)((dy)/(dx))^(2)+xy(dy)/(dx)-6y^(2)=0

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

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

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

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

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