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Help on 3rd order nonlinear ode

• To: mathgroup at smc.vnet.net
• Subject: [mg28329] Help on 3rd order nonlinear ode
• From: Jay <jayg at ima.umn.edu>
• Date: Wed, 11 Apr 2001 02:01:08 -0400 (EDT)
• Organization: University of Minnesota, Twin Cities Campus
• Sender: owner-wri-mathgroup at wolfram.com

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