The orthogonal trajectories of the family of curves `y=Cx^(2)`, (C is an arbitrary constant), is

Find the orthogonal trajectories of xy = c

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

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

The differential equation of the family of curves y^(2) = 4a(x+a) is

The differential equation which represents the family of curves y=c_1e^(c_2x) where c_1 and c_2 are arbitrary constants , is :

The orthogonal trajectories of the circle x^(2)+y^(2)-ay=0 , (where a is a parameter), is

Form the differential equation of family of curves y=mx where m is arbitrary constant.

Find the differential equation representing the family of curves y=asin (x+b), where a,b are arbitrary constants.