---
tag: 0FXDW992DS
kind: concept
name: Initial value problem
msc: [34A12]
sources:
  - url: https://en.wikipedia.org/wiki/Initial_value_problem
    locator: lead section
same_as:
  wikidata: Q10167591
  wikipedia: Initial value problem
---

## Summary

An initial value problem is an [[ordinary differential equation|0NT64JV96A]] together with a condition that fixes the value of the unknown function at one point.
A solution must satisfy both the equation and the condition. See the [[definition|075VBY4K4X]].