---
tag: 0KP0QNXPRT
kind: concept
name: Homogeneous linear equation
msc: [34A30]
sources:
  - url: https://en.wikipedia.org/wiki/Linear_differential_equation
    locator: Basic terminology
---

## Summary

A homogeneous linear equation is a linear differential equation $L y = 0$ with right side zero.
Its solutions form a vector space whose dimension is the order of the equation. See the [[definition|0EQZSAB9EC]].