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MathGroup Archive 2001

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Re: Help on 3rd order nonlinear ode

  • To: mathgroup at smc.vnet.net
  • Subject: [mg28331] Re: Help on 3rd order nonlinear ode
  • From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
  • Date: Thu, 12 Apr 2001 02:17:58 -0400 (EDT)
  • Organization: Universitaet Leipzig
  • References: <9b0sut$rs@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,

my Mathematica 4.1 gives for

sol = DSolve[{(y'[x])^2 + y[x]*y''[x] + 10*y'''[x] == 10}, y[x], x]

a solution and you may eliminate the additional
solutions and integration constants by hand and 
by some "physical" assumptions.

Regards
  Jens


Jay wrote:
> 
> I tried to solve the following third order nonlinear ode using NDSolve
> in Mathematica:
> 
> (y'[x])^2 + y[x]*y''[x] + 10*  y'''[x] == 10
> 
> with boundary/initial conditions
> 
> y[0] == 0, y'[0] == 0, y'[10] == 1.
> 
> However, Mathematica says:
> 
> NDSolve::"pcnan": "Coefficients of the differential equation are not
> numbers \ or only one linear nth order ordinary differential equation
> can be solved."
> 
> Can you help me please?
> 
> Thanks,
> Jay


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