Find the differential equation of the family of curves given by `x^2+y^2=2ax`

From the differential equation of the family of curves given by x^(2)+y^(2)-2ay=a^(2), where a is an arbitrary constant.

Find the differential equation of the family of curves Ax^(2)+By^(2)=1.

Find the differential equation of the family of curves represented by y^(2)-2ay+x^(2)=a^(2), where a is an arbitrary constant.

Find the differential equation of the family of circles x^(2) + y^(2) = 2ax , where a is a parameter .

The differential equation of the family of curves y^(2)=4a(x+a)

Find the differential equation of the family of curves (x+a)^2-2y^2=a^2 , where a is an arbitrary constant.

Find the differential equation of the family of curves (x+a)^2-2y^2=a^2 , where a is an arbitrary constant.

Find the differential equation of the family of curves ( x- a)^2 + ( y - b)^2 = r^2 , where a and b are arbitrary constants.

The differential equation of the family of curves y = P(x+Q)^(2) is

Find the differential equation representing family of curves given by (x- a)^2 + 2y^2 = a^2 where a is an arbitrary constant.