The differential equation that represents all parabolas having their axis of symmetry coincident with the axis of x, is

Show that the differential equation that represents the family of all parabolas having their axis of symmetry coincident with the axis of x is y y_2+y1 2=0.

Show that the differential equation that represents the family of all parabolas having their axis of symmetry coincident with the axis of x is yy_(2)+y_(1)^(2)=0

Show that the differential equation that represents the family of all parabolas having their axis of symmetry coincident with the axis of x is y y_2+y1 2=0.

Show that the differential equation represents the family of all parabolas having their axis of symmetry coincident with the axis of x is yy_(2)+y_(1)^(2)=0 .

The differential equation of all parabolas having their axes of symmetry coincident with the axes of x, is

The differential equation of all parabolas having their axes of symmetry coincident with the axes of x, is

The differential equation of all parabolas having their axes of symmetry coincident with the axes of x, is

The differential equation of all parabolas having their axes of symmetry coincident with the axes of x, is

The differential equation of all parabolas having their axes of symmetry coinciding with the x- axis is :