DSolve & Airy Functions
- To: mathgroup at smc.vnet.net
- Subject: [mg24545] DSolve & Airy Functions
- From: Gerhard Killesreiter <killesreiter at physik.uni-freiburg.de>
- Date: Mon, 24 Jul 2000 03:04:24 -0400 (EDT)
- Organization: Fakultaet fuer Physik, ALU Freiburg
- Sender: owner-wri-mathgroup at wolfram.com
Hi!
I ran into the following problem:
DSolve[{-1/2 f''[x] + (a x + b)f[x] == 0, f[a Infinity] == 0,
f'[a Infinity] == 0}, f[x], x]
gave me:
({{f[x] ->
AiryAi[(2 b + 2 a x)/(2^(2/3) a^(2/3))] C[1] +
AiryBi[(2 b + 2 a x)/(2^(2/3) a^(2/3))] C[2]}, {f[
x] -> AiryAi[(2 b + 2 a x)/(2^(2/3) a^(2/3))] C[
1] + AiryBi[(2 b + 2 a x)/(2^(2/3) a^(2/3))] C[
2]}, {f[x] ->
AiryAi[(2 b + 2 a x)/(2^(2/3) a^(2/3))] C[1] +
AiryBi[(2 b + 2 a x)/(2^(2/3) a^(2/3))]
C[2]}})
That is three times the same solution that I would get without the
boundary conditions. In my opinion the AiryBi part should have been
vanished because of that conditions. Am I wrong?
Cheers,
Gerhard