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