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

The differential equation of the family of parabolas y^(2)=4ax is

Form the differential equation of the family of circles touching the x-axis at origin.

Find the differential equation of the family of circles with their centre at the origin.

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 having vertex at the origin and axis along positive direction of x -axis.

Form the differential equation of the family of hyperbolas havig foci on x-axis and centre at origin.

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