Question
Represent the following family of curves by forming the corresponding differential equations (a. b: parameters).
Solution
The general equation of hyperbolas 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.
