Show that the differential equation of all parabolas `y^2 = 4a(x - b)` is given by

Find the differential equation of all parabolas : y^2 = 4ax

Write the differential equation of parabolas y^2=8x+c

Write the differential equation of the parabola y^2 = 4x + 10 .

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

Form the differential equation of all parabolas whose axis is the Y-axis.

Find the differential equation of all parabolas whose axis is the X axis.

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 .