Talk:Phase plane

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Comment on the content: the page starts with the text "Systems of differential equations are collectively of the general form dx/dt = Cx where C may be any combination of constants in order to create linear combinations with x on the right side". The supposedly "general" form given here is actually very specific: you have chosen a linear system (the general system would be nonlinear). Furthermore you have chosen one where the origin is an equilibrium point. Finally, this is an autonomous differential equation (i.e., t does not appear on the RHS); however, phase plane analysis doesn't apply to non-autonomous systems, so that's fair enough so long as you say so! A truly general differential equation would be far too complicated even to write down. But certainly something of the form dx/dt=f(x) should be used.

Thanks to the editors for this page. I have a question and a comment.

1) Are the eigenvectors mentioned also called "manifolds"? 2) I think it will be nice if we will mention nullclines in the article as well. Caspase 20:51, 22 May 2006 (UTC)