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**Up:** The balancing transformation.
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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.