- #1

- 24

- 0

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter skujesco2014
- Start date

- #1

- 24

- 0

- #2

pasmith

Homework Helper

- 2,016

- 649

I think you want to look at [tex]

y'' = \lambda x y,[/tex] whose solutions are Airy functions of [itex]r = \lambda^{1/3}x[/itex], and the eigenfunctions will be orthogonal with respect to [tex]

\int_a^b x y_1(x) y_2(x)\,dx.

[/tex] where [itex]\lambda^{1/3}a[/itex] and [itex]\lambda^{1/3}b[/itex] should be zeroes of Airy functions or their derivatives. Unhelpfully [itex]x = 0[/itex] is not a such a zero.

- #3

- 24

- 0

Share: