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

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 each of which has a latus rectum 4a and whose axes are parallel to the x-axis is (a) of order 1 and degree 2 (b) of order 2 and degree 3 (c) of order 2 and degree 1 (d) of order 2 and degree 2

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

Form the differential equation of the family of parabolas with focus at the origin and the axis of symmetry along the axis.

Form the differential equation of the family of parabolas having vertex at origin and axis along positive y -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.

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

Find the equation of the parabola with vertex (-1, -2), axis parallel to y-axis and passing through (3, 6).