" 2."(xy-x^(2))dy=y^(2)dx

Show that each of the following differential equations is homogeneous and solve each of them : 2xy dy-(x^(2)+3y^(2))dx=0 .

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

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

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

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