---
tag: 074E9A8ZJK
kind: concept
name: Separable equation
msc: [34A05]
sources:
  - url: https://en.wikipedia.org/wiki/Separation_of_variables
    locator: Ordinary differential equations (ODE)
---

## Summary

A separable equation is a first-order equation $y' = g(x) h(y)$ whose right side is a product of a function of $x$ and a function of $y$.
One solves it by separation of variables: divide by $h(y)$ and integrate both sides. See the [[definition|0V4E623THY]].