Obtain the differential equation of the family of circles passing through the point (a,0) and (-a,0).
A. `(y-2)((dy)/(dx))^2= 25+(y^2-2)^2`
B. `(y-2)^2((dy)/(dx))^2= 25-(y^2-2)^2`
C. `(y-2)^2((dy)/(dx))^2= 25+(y^2-2)^2`
D. `(y-2)((dy)/(dx))^2= 25-(y^2-2)^2`