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The differential equation of all ellipse...

The differential equation of all ellipses centred at the origin is

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

The differential equation of all the ellipses centred at the origin and have axes as the co-ordinate axes is where y'=(dy)/(dx), y''=(d^(2)y)/(dx^(2))

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 circles with centre at the origin is ………

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

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

The differential equations of all conics having centre at te origin is of order :

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