question_answer 1)

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

Answer:

. The equation of hyperbola having foci on X. axis and centre at origin is                                            ?.. (1)       where a and b are arbitrary constants.       Differentiate it w.r.t. x , we get                                            ?? (2)       Again differentiate w.r.t. x                Multiply it by x             (3) ? (2)                         where is the required differential equation.