Question
Represent the following family of curves by forming the corresponding differential equations (a. b: parameters).

Solution
The equation of given curve is

Differential w.r.t x, we get,

Again differentiating w.r.t x, we get.

which is required differential equation.

Differential w.r.t x, we get,

Again differentiating w.r.t x, we get.


which is required differential equation.