Question
Form the differential equation corresponding to y2 – 2 a y + x2 – a2 by eliminating a.
Solution
The given equation is
...(1)
Differentiating both sides w.r.t.x, we get,

...(2)
Eliminating m from (1) and (2), we get,

or
or
or
or
which is required differential equation.

Differentiating both sides w.r.t.x, we get,


Eliminating m from (1) and (2), we get,

or

or

or

or

which is required differential equation.