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Formation of a Differential Equation from a General Solution

7. Find the o...

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7. Find the order of differential equation of all conics whose centre lies at origin

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Q. The differential equations of all conics whose centre lie at the origin is of order:

Q. The differential equation of all conics with centre at origin is of order

Q. S1: The differential equation of parabolas having their vertices at the origin and foci on the x-axis is an equation whose variables are separable
S2: The differential equation of the straight lines which are at a fixed distance p from the origin is an equation of degree 2
S3: The differential equation of all conics whose both axes coincide with the axes of coordinates is an equation of order 2

Q. Assertion :The order of the differential equation of all conics whose centre lies at

(0, 0)

3

. Reason: The order of differential equation.is same as the number of arbitrary unknowns (constants) in the given curve.

Q. Find the order of the differential equation of the family of all the circles with their centres at the origin.

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