# Bernoulli's equation

noun
variants: or less commonly Bernoulli equation

## Definition of Bernoulli's equation

1 [after Jacques Bernoulli †1705 Swiss mathematician] : a nonlinear differential equation of the first order that has the general form dy/dx + f(x)y = g(x)yn and that can be put in linear form by dividing through by yn and making the change of variable Y = yn+1
2 [after Daniel Bernoulli †1782 Swiss mathematician and scientist] : an equation used in fluid mechanics that relates pressure, velocity, density, and gravitational acceleration — compare bernoulli effect , bernoulli's theorem

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## First Known Use of Bernoulli's equation

1830, in the meaning defined at sense 1

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Time Traveler for Bernoulli's equation ## The first known use of Bernoulli's equation was in 1830

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## Dictionary Entries near Bernoulli's equation

Bernoulli distribution

## Statistics for Bernoulli's equation

Cite this Entry

“Bernoulli's equation.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/Bernoulli%27s%20equation. Accessed 11 Aug. 2020.

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