" that "x^(2)(dy)/(dx)=x^(2)-2y^(2)+xy" is a homogeneous differential equation."

Prove that the equation x62(dy)/(dx)=x^2-2y^2+xy is a homogenous differential equation

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

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

If the equation dy/dx=(x^3+3x^2y+y^n)/(xy^2) is a homogeneous differential equation,then the values of n is

Show that (3xy + x^(2)) dy + (y^(2) + xy)dx = 0 is homogeneous differential equation. Also find its general solution.

Show that (3xy + x^(2)) dy + (y^(2) + xy)dx = 0 is homogeneous differential equation. Also find its general solution.

Show that the differential equation x^(2)(dy)/(dx)=(x^(2)-2y^(2)+xy) is homogenous and solve it.

Show that the differential equation 2x^(2)(dy)/(dx)-2xy+y^(0)=0 is homogeneous and solve it.

Show that the differential equation (x^(2)+xy)dy=(x^(2)+y^(2))dx is homogeneous and solve it.