Thanks so much for that but I'm really confused I am trying to solve numerically for the velocity profiles of the fluid from the boundary layer equations,
(These derivatives are partial apart from the 3rd term in the first equation).
The boundary conditions are du/dy=0(partial) when y=0 and u=0 when y=+-infinity.
I introduced the stream function u=d(stream)/dy and v=-d(stream)/dx (both partials)
where stream function is a similarity solution, stream=x^pf(y/x^q) where eta=f(y/x^q).
Putting the boundary layer equations in terms of the stream function and having found p=1/3 and q=2/3 the equations reduce to f'''+1/3ff''+1/3f'^2 now i thought the boundary conditions changed to f(0)=f''(0)=0 and f'(infinity)=0.
Is there any sense in trying the code with the first set of boundary conditions or would there be a way of solving the PDE's maybe?? I'm clueless with all this.
I solved the ODE analytically using the first set of boundary conditions.
I don't know if this will make much sense to you but it would be great if you could let me know!! Your very good thanks.