Find the differential equation of all the ellipses whose center is at origin and axis are co-ordinate axis.

Find the differential equation of all ellipses whose centre is origin and foci is on the x-axis.

The differential equation of all ellipse centered at the origin axis being coordinate axes is:

The differential equation of all ellipses centred at the origin is

Form the differential equation of the family of all the parabolas whose vertex is at origin and axis is y-axis.

The differential equations of all circles touching the x-axis at origin is

Find the differential equation of the family of circles whose centres lie on X -axis.

Find the differential equation of all circles touching the x-axis at the origin y-axis is the origin

The differential equation of all ellipses with centres at the origin and the ends of one axis of symmetry at (pm1,0) , is

Find the equation of the ellipse whose centre is at origin, focus is (0,4) and major axis is 10.