Question
Represent the following family of curves by forming the corresponding differential equations (a. b: parameters).
Solution
The equation of curve is
y2 = 4 a x ...(1)
Differentiating both sides w.r.t x, we get.
...(2)
From (1) and (2), we get,
Which is required differential equation.
y2 = 4 a x ...(1)
Differentiating both sides w.r.t x, we get.
...(2)From (1) and (2), we get,
Which is required differential equation.
