Parabolas having their vertices at the origin and foci on the x-axis.

Find the differential equation of all parabolas having their vertices at the origin and foci on x-axis.

What is the differential equation to family of parabola having their vertices at the origin and foci on the X-axis ?

The differential equation of the family of parabolas having vertices at the origin and foci on y-axis is

Obtain the differential equation which corresponds to each of the following family of curves. The parabolas having their foci at the origin and axis along the X - axis .

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

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

Form the differentials equation representing the family of ellipse having centre at the origin and foci ion x-axis.