Question
Represent the following family of curves by forming the corresponding differential equations (a. b: parameters).
Solution
The equation of curve is
x2 – y2 = a2
Differentiating both sides w.r.t. x,
or 
which is required differential equation.
x2 – y2 = a2
Differentiating both sides w.r.t. x,
or which is required differential equation.
