---
tag: 0T92VGGVWP
kind: concept
name: Bernoulli equation
msc: [34A34]
sources:
  - url: https://en.wikipedia.org/wiki/Bernoulli_differential_equation
    locator: lead section
same_as:
  wikidata: Q793674
  wikipedia: Bernoulli differential equation
---

## Summary

A Bernoulli equation is a first-order equation $y' + P(x) y = Q(x) y^n$.
The substitution $v = y^{1-n}$ changes it into a linear equation. See the [[definition|0ZB84QCDKR]].

## Remarks

Jacob Bernoulli discussed the equation in 1695. Leibniz published a solution in the same year.