Question
Form the differential equation of the family of hyperbolas having foci on x-axis and centre at origin.
Solution
The equation of family of hyperbolas having foci on x-axis and centre at origin is
...(1)
Differentiating w.r.t.. x successively two times, we get,
...(2)
and
...(3)
From (2), (3), we get,
which is the required differential equation.
...(1)Differentiating w.r.t.. x successively two times, we get,
...(2)and
...(3)From (2), (3), we get,
which is the required differential equation.
