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 equation of the parabola which has axis parallel to the y-axis and which passes through the points (0,2),(-1,0),a n d(1,6)dot

Find the differential equation of the family of all the parabolas with latus rectum 4a and whose axes are parallel to the x-axis.

Find the differential equation of the family of parabolas with vertex at (0, -1) and having axis along the y-axis.

From the differential equation of the family of parabolas having vertex at the origin and axis along positive direction of x -axis.

From the differential equation of the family of parabolas with focus at the origin and axis of symmetry along the x-axis. Find the order and degree of the differential equation.