Orthogonal trajectories of family of the curve `x^(2/3)+y^(2/3)=a^((2/3))` , where `a` is any arbitrary constant, is

Find the orthogonal trajectories of family of curves x^2+y^2=c x

The differential equation for the family of curve x^2+y^2-2a y=0, where a is an arbitrary constant, is

The differential equation for the family of curve x^2+y^2-2a y=0, where a is an arbitrary constant, is

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

The degree of the differential equation corresponding to the family of curves y=a(x+a)^(2) , where a is an arbitrary constant is

Orthogonal trajectories of the system of curves ((dy)/(dx))^(2) = (a)/(x) are

The differential equation of the family of curves of x^(2)+y^(2)-2ay=0 where a is arbitary constant, is

The differential equation of the family of curves py^(2)=3x-p is (where p is an arbitrary constant) is

The orthogonal trajectories to the family of curve y= cx^(K) are given by :

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