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There is still the question of the amplitude of . With the
values of a, b, c and d from equation (11) inserted into equation
(7),
Since lies between
and
, it follows that
Integrating this inequality shows that behaves like for some constant K; that is, the amplitude of
decreases to 0 slowly, like , as .
Combining our results for and we can now say with
certainty that the solutions of Airy's equation behave
like
as .
Contents
Next: What Happens for
Up: The balancing transformation.
Previous: Analyzing after balancing.