       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, y' == 0, y' == 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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