Find the differential equation of all non-vertical lines in a plane.

The differential equation of the family of all non-vertical lines in a plane is

Find the differential equation of all parabolas whose axis are parallel to the x-axis.

Statement 1 : The differential equation of all circles in a plane must be of order 3. Statement 2 : There is only one circle passing through three non-collinear points.

Find the differential equation of the family of (i) all non vertical lines in a plane (ii) all non horizontal lines in a plane

Find the differential equation of the family of (i) all non- vertical lines in a plane

Form the differential equation of all straight lines touching the circle x^(2)+y^(2)=r^(2).

Form the differential equation of all concentric circles at the origin.