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

Find the differential equation of all parabolas whose axes are parallel to the x-axis an having latus rectum a.

The differential equation of all parabolas whose axis are parallel to the y-axis is

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

What is the differential equation of all parabolas whose axes are parallel to Y-axis ?

The differential equation of all parabolas with axis parallel to the axis of y is :

Find the differential equation of the family of parabola whose axis is parallel to X -axis and vertex is on Y -axis

Statement I Order of differential equation of family of parabola whose axis is parallel to y-axis and latusrectum is fixed is 2. Statement II Order of first equation is same as actual number of arbitary constant present in differential equation.