In mathematics, an ordinary differential equation is called a Bernoulli differential equation if it is of the form y ′ + P ( x ) y = Q ( x ) y n , {\displaystyle...

Bernoulli equation may refer to: Bernoulli differential equation Bernoulli's equation, in fluid dynamics Euler–Bernoulli beam equation, in solid mechanics...

with its integration meaning. In 1696, Bernoulli solved the equation, now called the Bernoulli differential equation, y ′ = p ( x ) y + q ( x ) y n . {\displaystyle...

non-uniqueness of solutions. Jacob Bernoulli proposed the Bernoulli differential equation in 1695. This is an ordinary differential equation of the form y ′ + P (...

Bernoulli family of Basel. Bernoulli differential equation Bernoulli distribution Bernoulli number Bernoulli polynomials Bernoulli process Bernoulli Society...

potential theory Bernoulli differential equation Cauchy–Euler equation Riccati equation Hill differential equation Gauss–Codazzi equations Chandrasekhar's...

homogeneous equation obtained by removing the constant term. The term homogeneous was first applied to differential equations by Johann Bernoulli in section...

In mathematics, a Riccati equation in the narrowest sense is any first-order ordinary differential equation that is quadratic in the unknown function...

2024. Bernoulli differential equation Bernoulli distribution Bernoulli number Bernoulli polynomials Bernoulli process Bernoulli trial Bernoulli's principle...

were the first to put together a useful theory circa 1750. The Euler–Bernoulli equation describes the relationship between the beam's deflection and the applied...