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.

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.

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

Form the differential equation of the family of curves represented by y^(2)=(x-c)^(2)

Obtain the differential equation of the family of curves represented by y=Ae^x+Be^-x+x^2 , where A and B are arbitrary constants.

Find the differential equation of the family of curves : y=Ae^(2x)+Be^(3x) .

Find the differential equation of the family of curves y=Ae^(2x)+Be^(-2x), where A and B are arbitrary constants.

Form the differential equation representing the family of curves given by y=Ax+(B)/(x) where A and B are constants.