Solve :` (x^(2)-y^(2)) dx + 2xy dy = 0`

Show that each of the following differential equations is homogeneous and solve each of them : (x^(2)-y^(2))dx+2xy dy=0

Show that each of the following differential equations is homogeneous and solve each of them : (x^(2)+y^(2))dx+2xy dy = 0

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

Solve the differential equation : (x^2 - y^2) dx + 2xy dy = 0 .

Solve the differential equation : (x^2 + y^2) dx + 2xy dy = 0 .