y'(0) = 0 paper — second draft

As promised last week, here is the second draft of the paper I am currently working on (it's a pdf file, around 192k).

The main change contained within this draft is the statement of the fundamental theorem immediately, which can be found in section 2. Following that, examples are moved to section 3 to show how the fundamental theorem works and then some trickery that allows the theorem to work for a new class of equations is given in section 5. The "further work" section remains virtually the same.

The paper is currently with my supervisor, who is making his own changes and additions to this draft. Once this is back with me, I'll go about putting up the third draft.

(NB If this is all too much too soon and you would like an introduction to symmetry methods, you can find a small briefing I have made in the research section of arbitrary constant.)