>From the little you have explained about "k" I would guess that you
can evaluate them for any "x". Just do it that way. At no point is
there a requirement in the packages that you are using for a grid of
fixed "x"es. You seem to be confused about what interpolation does.
See http://en.wikipedia.org/wiki/Interpolation

And you should read the documentation of the packages that you are
using. They answer most of your questions. This tutorial is quite
clear http://pythonhosted.org/scikits.bvp_solver/examples/examples.example1.html

Please address the scipy mailing list with these questions, as they
are much better equipped to answer questions about their project.

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