Q. 183.5( 2 Votes )

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

Answer :

Equation of required hyperbola is

Where a,b are arbitrary constants

Differentiating with respect to x we get,

Again, differentiating with respect to x we get,

Substituting this value of in (ii) we get,

The required differential equation is

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