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

The differential equation of family of curves of y^(2)=4a(x+a) is

The degree of the differential equation of all tangent lines to the parabola y^2 = 4ax 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.

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

Find the differential equation of all parabolas whose axis are parallel to the x-axis.

Show that the differential equation (x e^((y)/(x)) + y) dx = x dy is homogeneous differential equation.

The differential equation of the family of curves, y^2 = 4a ( x + b) , a b in R , has order and degree respectively equal to :

Show that the differential equation x^(2)(dy)/(dx) = x^(2)+ xy + y^(2) is homogeneous differential equation. Also find its general solution.

The order and degree of the differential equation of all tangent lines to the parabola x^(2)=4y is

The order and degree respectively of the differential equation of all tangent lines to parabola x ^(2) =2y is: