Is the Airy Function Normalized?

Irid · 2013-09-18T16:43:11+00:00

Is the Airy function (of the first kind) normalized? If I take the integral Ai(x) dx on the entire axis, does it converge to 1? I can't find this property by googling around :(

Thread 'Direction Fields and Isoclines'

I sketched the isoclines for $$ m=-1,0,1,2 $$. Since both $$ \frac{dy}{dx} $$ and $$ D_{y} \frac{dy}{dx} $$ are continuous on the square region R defined by $$ -4\leq x \leq 4, -4 \leq y \leq 4 $$ the existence and uniqueness theorem guarantees that if we pick a point in the interior that lies on an isocline there will be a unique differentiable function (solution) passing through that point. I understand that a solution exists but I unsure how to actually sketch it. For example, consider a...

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Thread 'Direction Fields and Isoclines'

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