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

Question

Philoid · Accepted Answer

Equation of the family of curves, (x-a)²+2y²=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.