{
  "id": "0902.2390",
  "version": "v1",
  "published": "2009-02-13T20:56:36.000Z",
  "updated": "2009-02-13T20:56:36.000Z",
  "title": "Group Classification of a family of second-order differential equations",
  "authors": [
    "J. C. Ndogmo"
  ],
  "comment": "13 pages",
  "categories": [
    "math.AP",
    "math.CA"
  ],
  "abstract": "We find the group of equivalence transformations for equations of the form $y''= A(x)y' + F(y),$ where $A$ and $F$ are arbitrary functions. We then give a complete group classification of these families of equations, using a direct method of analysis, together with the equivalence transformations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-02-13T20:56:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34C20",
      "58J70",
      "76M60"
    ],
    "keywords": [
      "second-order differential equations",
      "equivalence transformations",
      "complete group classification",
      "direct method",
      "arbitrary functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0902.2390N"
    }
  }
}