---
tag: 0DS2QFYJHE
kind: concept
name: Fundamental system of solutions
msc: [34A30]
sources:
  - url: https://en.wikipedia.org/wiki/Linear_differential_equation
    locator: Linear differential operator
---

## Summary

A fundamental system of solutions of a homogeneous linear equation of order $n$ is a basis of its space of solutions: $n$ linearly independent solutions.
See the [[definition|0H4KNNCHPY]].