From: hsue@midway.uchicago.edu (yung chang  hsueh)
Newsgroups: sci.math.research
Subject: $200 for solutions of OEDs
Date: Thu, 16 Sep 1993 22:10:56 GMT

    I will Award $200 for the analytic solutions to the following
system of ODE:


0= ay -1 + y'
0= -ay + 0.5 b^2 z^2 + cz + z'
0= 0.5 y^2 - fy + 0.5 g w^2 + h w + w'

where y, z, w are functions of x. 
a, b, c, f, g ,h are constants .
boundary conditions: y(0)=z(0)=w(0)=0

Note: to my understanding the solution can be expressed in Confluent
Hypergeometric Functions.  The key issue is to find out transformations
that turn  the second and  third equations into confluent hypergeometric
equations.