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NDSolve error: "Cannot find starting value for the variable x"

• To: mathgroup at smc.vnet.net
• Subject: [mg40475] NDSolve error: "Cannot find starting value for the variable x"
• From: "Joseph S. Jewell" <jjewell at caltech.edu>
• Date: Mon, 7 Apr 2003 04:55:18 -0400 (EDT)
• Organization: California Institute of Technology, Pasadena
• References: <b6m0dv$ehe$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

I'm trying to use NDSolve to solve a coupled system of differential
equations (total differential order of 5) with 5 given initial conditions.
I've gotten the error "Cannot find starting value for the variable x", which
I had thought one only got if the highest derivative of one of the initial
conditions was higher than in the system of equations. However, my
highest-order initial condition is only a first derivative, so I don't
believe this is the case.

Can anyone help me solve this?

Thanks,

Joe Jewell
jjewell at caltech.edu

NDSolve[{
    f'''[x] + 3f[x]*f''[x] - 2(f'[x])^2 + T[x] == 0,
    T''[x] + 3*1000*f[x]T'[x] == 0,
    f[0] == f'[0] == 0,
     T[0] == 1,
    T[\[Infinity]] == 0,
    f'[\[Infinity]] == 0
    }, {f, T}, {x, 0, 10}]

• Follow-Ups:
  • Re: NDSolve error: "Cannot find starting value for the variable x"
    • From: CAP F <Ferdinand.Cap@eunet.at>