The differential equation of all circles which passes through the origin and whose centers lie on Y-axis is
A. `(y^(2)-x^(2))(dy)/(dx)+2xy+a^(2)=0`
B. `y^(2)(dy)/(dx)+xy+a^(2)x^(2)=0`
C. `(y^(2)-x^(2)+a^(2))(dy)/(dx)+2xy=0`
D. `(y^(2)+x^(2))(dy)/(dx)-2xy+a^(2)=0`
