(5)
But it is not possible to eliminate two parameters a and b from the two equations
and so, we need a third equation This equation is obtained by differentiating
equation (5), with respect to x, to obtain a relation of the form
h (x, y, y′, y″, a, b) = 0 (6)
Fig 9 2
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MATHEMATICS
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The required differential equation is then obtained by eliminating a and b from
equations (4), (5) and (6) as
F (x, y, y′, y″) = 0