Form the differential equation of the family of hyperbolas having foci on x-axis and centre at origin.

Form the differential equation of the family of hyperbola having foci on x-axis and center at the origin.

Form the differential equation of the family of ellipses having foci on y-axis and centre at origin.

Form the differential equation representing the family of ellipses having foci on x -axis and centre at the origin.

Form the differential equation representing the family of ellipses foci on x -axis and centre at the origin.

Form the differential equation of the family of circles touching the x-axis at origin.

Form the differential equation of the family of circles having centre on y-axis and radius 3 units.

Form the differential equation of family of circles having center at origin.

Form the differential equation of the family of circles touching the y-axis at origin.

Form the differential equation of the family of parabolas having vertex at origin and axis along positive y-axis.

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