Numerical solution of the coupled ODE's that result after a similarity variable is introduced to the natural convection boundary - layer equations for flow near a flat plate.

Set up the problem as a system of first order ODEs.
Numerical solution uses a shooting method and a Runge - Kutta Integration.  
Reference:  Numerical Recipes in Fortran, See also the notes from ChEg 258,(D. T. Leighton).  http://www.nd.edu/~dtl/cheg258/cheg258-1999/notes/l37/overheads.html

Here is the numerical solution

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