Differential equation: Revision history

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7 September 2026

5 September 2026

  • curprev 20:0220:02, 5 September 2026 RonzzWikiCowriterAI talk contribs 28,604 bytes +1,788 AI-assisted (RonzzWikiCowriter): present Method 2 as the method of characteristics in general (general quasilinear first-order form, characteristic system, general algebraic solution u = F(ψ(x,t))), with the transport equation and the wave equation derived from it as examples rather than being the method itself. (via update-page on MediaWiki MCP Server)
  • curprev 19:5819:58, 5 September 2026 RonzzWikiCowriterAI talk contribs 26,816 bytes +1,641 AI-assisted (RonzzWikiCowriter): drop the compound-interest numeric scenario (no bank specifies interest via a differential equation), replacing it with a radioactive-decay (carbon-14) scenario; replace the remaining finance example in first-order Method 3 with a harvested fish stock; restructure both PDE methods so that a general algebraic form and general algebraic solution come first, with the heat and wave equations presented afterwards as examples. (via update-page on MediaWiki MCP Server)
  • curprev 19:4619:46, 5 September 2026 RonzzWikiCowriterAI talk contribs 25,175 bytes +3,804 AI-assisted (RonzzWikiCowriter): restore scenario introductions to the numerical examples and make each example illustrate the solving process — the scenario is first modelled by a differential equation with concrete numbers, which the method then solves step by step (e.g. the compound-interest scenario now explicitly solves dy/dt = 0.05y, y(0) = 1000). (via update-page on MediaWiki MCP Server)
  • curprev 19:3719:37, 5 September 2026 RonzzWikiCowriterAI talk contribs 21,371 bytes −7,524 AI-assisted (RonzzWikiCowriter): compress the solution-methods section to derivations in display math with minimal prose; rewrite the history section in a formal academic register, restoring semantic person links. (via update-page on MediaWiki MCP Server)
  • curprev 19:2919:29, 5 September 2026 RonzzWikiCowriterAI talk contribs 28,895 bytes +5,682 AI-assisted (RonzzWikiCowriter): make the homogeneous/particular structure explicit — state the y = y_p + y_h result in the classification section and label homogeneous and non-homogeneous cases inside Methods 2 and 3 (first order) and Method 2 (second order), adding a forced-equation demonstration on the same operator; add PDE Method 2, travelling waves via the method of characteristics (transport equation), with a river-pollutant numeric example and the wave-equation remark. (via update-pag...
  • curprev 19:2119:21, 5 September 2026 RonzzWikiCowriterAI talk contribs 23,213 bytes +2,674 AI-assisted (RonzzWikiCowriter): add first-order Method 3 — constant-coefficient linear equations solved by exponential trial and undetermined coefficients (y = C e^{bx} guess, particular-solution guess), with a worked account-with-withdrawals numeric example; note the remaining first-order specialisations; thread the trial through the second-order section and the decision diagram. (via update-page on MediaWiki MCP Server)
  • curprev 19:1319:13, 5 September 2026 RonzzWikiCowriterAI talk contribs 20,539 bytes +4,306 AI-assisted (RonzzWikiCowriter): reorganise the analytical-methods section by class — first-order ODE methods (separable, integrating factor), second-order ODE methods (direct integration, constant coefficients), PDE methods (separation of variables) — each with general case then concrete numeric example; add a falling-with-air-resistance example under the integrating factor. (via update-page on MediaWiki MCP Server)
  • curprev 19:0119:01, 5 September 2026 RonzzWikiCowriterAI talk contribs 16,233 bytes +2,306 AI-assisted (RonzzWikiCowriter): restore the full history section and strip the narrator prose that restates what the demonstrations show; derivations and worked examples carry the explanation. (via update-page on MediaWiki MCP Server)
  • curprev 18:5518:55, 5 September 2026 RonzzWikiCowriterAI talk contribs 13,927 bytes −16,202 AI-assisted (RonzzWikiCowriter): condense the article — cut prose commentary, let the derivations and worked examples carry the explanation; keep all semantic embeds, images, diagram and citations. (via update-page on MediaWiki MCP Server)
  • curprev 18:4018:40, 5 September 2026 RonzzWikiCowriterAI talk contribs 30,129 bytes +14,225 AI-assisted (RonzzWikiCowriter): implement HTML-comment advice: add analytic methods for 1st/2nd order ODEs (integrating factor, characteristic equation), an analytic PDE example (heat equation by separation of variables), restructure the harmonic oscillator as an example, update the decision diagram, and rewrite the history section. (via update-page on MediaWiki MCP Server)
  • curprev 15:1915:19, 5 September 2026 Rongzhou talk contribs 15,904 bytes −3,329 No edit summary
  • curprev 13:5313:53, 5 September 2026 RonzzWikiCowriterAI talk contribs 19,233 bytes +2,035 Rewrite in canonical style for non-specialist readers: full worked derivations, concrete numeric examples, slope fields, and links (not duplication) to the separate articles on series, Laplace, numerical, and qualitative methods. AI-assisted (RonzzWikiCowriter) (via update-page on MediaWiki MCP Server)
  • curprev 13:3913:39, 5 September 2026 Rongzhou talk contribs 17,198 bytes −12 →Power series and the Frobenius method
  • curprev 13:3913:39, 5 September 2026 Rongzhou talk contribs 17,210 bytes −812 →Power series and the Frobenius method

4 September 2026

  • curprev 07:3207:32, 4 September 2026 RonzzWikiCowriterAI talk contribs 18,022 bytes −314 Implemented HTML-comment advice: characteristic-equation substitution calculation, first-order forced case before variation of parameters, derivation of the two determining conditions, and Cramer's rule/Wronskian justification. Spun Power series, Laplace transform, Euler's method and Qualitative methods out into their own articles with full demonstrations; kept summarised overviews with links. AI-assisted (RonzzWikiCowriter). (via update-page on MediaWiki MCP Server)
  • curprev 07:1907:19, 4 September 2026 Rongzhou talk contribs 18,336 bytes +455 →Analytical methods

3 September 2026

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