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

Question

Philoid · Accepted Answer

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.