The differential equation of all conics whose axes coincide with the coordinate axes, is

Options

A. `xy(d^2 y)/(dx^(2)) + x ((dy)/(dx))^(2) + y(dy)/(dx)=0`
B. `xy(d^(2)y)/(dx^(2)) + x((dy)/(dx))^(2) + x (dy)/(dx)=0`
C. `xy(d^(2)y)/(dx^2)+x((dy)/(dx))^(2) - y(dy)/(dx)=0`
D. `xy(d^(2) y)/(dx^(2))-x((dy)/(dx))^(2) + y(dy)/(dx)=0`

Answer

C