The differential equation of the family of circles with fixed radius $5$ units and centre on the line $y=2$ is:

1. A
   $(x-2)y^{\prime 2}=25-(y-2{)}^2$
2. B
   $(y-2)y^{\prime 2}=25-(y-2{)}^2$
3. C
   $(y-2{)}^2{y}^{\prime 2}=25-(y-2{)}^2$
4. D
   $(x-2{)}^2{y}^{\prime 2}=25-(y-2{)}^2$