Talk:Ordinary differential equation

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Removal of content[edit]

I deleted the section Linear equations rather than wasting time cleaning it up, since everything is covered in far more detial and in better presentation in the main article Linear differential equation.

Furthermore the subsections within that section: Fundamental systems for homogeneous equations with constant coefficients and General Case, had zero references and were not exactly easy for a reader to follow anyway... they are no more. F = q(E+v×B) ⇄ ∑ici 09:34, 31 May 2012 (UTC)

There was a link to the section Linear ordinary differential equations in the article Stiff equation. I just now updated the link to point to the section Reduction of order instead, as this section describes not only the reduction of order but also the vector representation of such a system. Please consider leaving the existing section in place so that the vector representation will still be described in a convenient place. If the vector representation is deleted, it should be moved somewhere and documented in the talk pages for its source and destination pages. — Anita5192 (talk) 17:48, 31 May 2012 (UTC)
Of course I'll leave that section alone - thats relavent! My only implications were that the theory of linear equations should be kept in the other article (which is also in bad shape in places.....), rather than repeating too much here. Thank you for feedback - appreciated. =) F = q(E+v×B) ⇄ ∑ici 23:27, 31 May 2012 (UTC)

Global uniqueness and maximum domain of solution[edit]

It would be nice to have a counter-example with domain ℝ\{x_0 + 1/y_0}, that satisfies the initial condition, but has a different definition on the other interval. Soulpa7ch (talk) 18:49, 17 September 2012 (UTC)

Error![edit]

f(x, y) = y^2 is *not* Lipschitz continuous. Please rectify or make clear (that you mean "locally Lipschitz"). — Preceding unsigned comment added by 2607:4000:200:12:21A:92FF:FE83:373 (talk) 23:24, 21 January 2013 (UTC)

Argument of function belongs in numerator[edit]

In the Background section, I moved the argument of x(t) back into the numerator of the derivative because that is where it commonly is placed in textbooks. See, e.g., Simmons, George F. Differential Equations with Applications and Historical Notes. p.123. — Anita5192 (talk) 20:32, 6 November 2014 (UTC)

Proposed merge with Strang splitting[edit]

seems to be one of the possible solutions Shrikanthv (talk) 10:53, 3 December 2014 (UTC)