Question
Form the differential equation corresponding to y2 = a (b – x) (b + x) by eliminating a and b.
Solution
The given equation is
...(1)
...(2)
Again
...(3)
Eliminating a from (2) and (3), we get,

which is the required differential equation.


Again

Eliminating a from (2) and (3), we get,

which is the required differential equation.