Show that the differential equation `2xy (dy)/(dx) = x^2+3y^2 ` is homogeneousand 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)(dy)/(dx)=(x^(2)-2y^(2)+xy) is homogenous and solve it.

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

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

Solve the differential equation : xy dy/dx = x^2 + 2y^2

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

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

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

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

Solve the differential equation (dy)/(dx)=1-x+y-xy