The family of parabola `y^(2)=4c(x+c)` where `c` is an arbitratry constant

Find the differential equation for the family of curves y^2=4a (x+b) where c is an arbitrary constant.

The differential equation of the family of curves cy ^(2) =2x +c (where c is an arbitrary constant.) is:

Which one of the following is the differential equation that represents the family of curves y=(1)/(2x^(2)-c) where c is an arbitrary constant ?

Find the differential equation corresponding to the family of curves y=c(x-c)^2 where c is an arbitrary constant.

Write the differential equation representing the family of straight lines y=Cx+5, where C is an arbitrary constant.

The differential equation representing the family of curves y^(2)=2c(x+sqrt(c)) ,where c is a positive parameter is of

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

Obtain the differential equation of the family of circles x^(2)+y^(2)+2gx+2fy+c=0 where g,f&c are arbitrary constants.