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

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 y=A e^(2x)+B e^(-2x) , where A and B are arbitrary constants.

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

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

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

Form the differential equation of the family of curves represented by y^2=(x-c)^3 .

If the differential equation of the family of curve given by y=Ax+Be^(2x), where A and B are arbitary constants is of the form (1-2x)(d)/(dx)((dy)/(dx)+ly)+k((dy)/(dx)+ly)=0, then the ordered pair (k,l) is

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 concentric circles x^2+y^2=a^2 .

Form a differential equation of the family of the curves y^2 =4ax .