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

The differential equation of all ellipses centred at the origin is

The differential equation of all conics whose centre lie at the origin is of order

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.

Find the differential equation of all the circles which pass through the origin and whose centres lie on y-axis.

Find the differential equation of all circles touching the (i) x-axis at the origin (ii) y-axis at the origin

Find the differential equation of all the circles which pass thorough the origin and whose centres lie on x-axis.

Form the differential equation of all circle touching the x-axis at the origin and centre on the y-axis.

Form the differential equation of all circle touching the x-axis at the origin and centre on the y-axis.

Find the differential equation of those circles whose centres lie on X -axis and whose radii are variable 'r' .