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

The differential equation of all ellipses centred at the origin is

The differential equation of all ellipses centred at the origin is

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 the ellipses whose center is at origin and axis are co-ordinate axis.

Find the differential equation of all ellipse whose centres are at the origin and principal axes along coordinate axes.

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

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

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

Find the differential equation of family of all ellipse whose major axis is twice the minor axis.