---
tag: 0QQRP17Z7S
kind: concept
name: Linear differential equation of order n
aliases: [linear-differential-equation]
msc: [34A30]
sources:
  - url: https://en.wikipedia.org/wiki/Linear_differential_equation
    locator: lead section
same_as:
  wikidata: Q1129902
  wikipedia: Linear differential equation
---

## Summary

A linear differential equation is an equation in which the unknown function and its derivatives occur linearly, with coefficients that are functions of the variable.
Its solutions are a particular solution plus the solutions of the associated homogeneous equation, which form a vector space. See the [[definition|0PB7K8M7FG]].