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Help on 3rd order nonlinear ode

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

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?


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