{
  "aliases": null,
  "backlinks": [
    {
      "field": "defines",
      "target": "0EQZSAB9EC"
    }
  ],
  "body": "\n## Summary\n\nA homogeneous linear equation is a linear differential equation $L y = 0$ with right side zero.\nIts solutions form a vector space whose dimension is the order of the equation. See the [[definition|0EQZSAB9EC]].\n",
  "commit": "f591989ed15704e9d8755a7a5a6426d73de7a3ae",
  "front": {
    "kind": "concept",
    "msc": [
      "34A30"
    ],
    "name": "Homogeneous linear equation",
    "sources": [
      {
        "locator": "Basic terminology",
        "url": "https://en.wikipedia.org/wiki/Linear_differential_equation"
      }
    ],
    "tag": "0KP0QNXPRT"
  },
  "kind": "concept",
  "link": "https://math2.tamnd.com/node/0KP0QNXPRT/",
  "links": null,
  "markdown": "https://math2.tamnd.com/node/0KP0QNXPRT.md",
  "msc": [
    "34A30"
  ],
  "name": "Homogeneous linear equation",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/0KP/0KP0QNXPRT.md",
  "status": null,
  "tag": "0KP0QNXPRT",
  "uri": "m2://0KP0QNXPRT",
  "url": "https://math2.tamnd.com/wiki/homogeneous-linear-equation/",
  "writing": {
    "tag": "0KP0QNXPRT",
    "kind": "concept",
    "level": "W0",
    "next": [
      {
        "what": "an inventory row",
        "note": "the row of the inventory that the node accounts for",
        "have": 0,
        "want": 1
      }
    ]
  }
}