Linearized differential equation

{
  "id": "MLC-T-MET-006988",
  "term": "Linearized differential equation",
  "field": "Meteorology and atmospheric science",
  "definition": "A differential equation derived by approximating a nonlinear system with a linear one, usually by assuming small perturbations from a mean or equilibrium state. This process involves expanding nonlinear terms in a Taylor series and retaining only the first-order terms. Such equations are widely used in atmospheric science to analyze the stability of flows, the propagation of waves, and the initial growth of disturbances.",
  "url": "https://mlchart.com/terminology/meteorology/linearized-differential-equation/"
}