#### Question

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

#### Solution

The equation of the family of hyperbolas with the centre at origin and foci along the *x*-axis is:

Differentiating both sides of equation (1) with respect to *x*, we get:

This is the required differential equation.

Is there an error in this question or solution?

Solution Form the Differential Equation of the Family of Hyperbolas Having Foci on X-axis and Centre at Origin. Concept: Procedure to Form a Differential Equation that Will Represent a Given Family of Curves.