Form the differential equation of the family of curves given by x2+y2-2ay=a2, where a is an arbitrary constant.
Equation of the family of curves, x2+y2-2ay=a2, where a is an arbitrary constant.
(1)
Differentiating the above equation with respect to x on both sides, we have,
(Substituting 2ax from equation 1)
This is the required differential equation.