Bernoulli's equation


variants or less commonly Bernoulli equation
[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
[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

Word History

First Known Use

1830, in the meaning defined at sense 1

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

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Cite this Entry

“Bernoulli's equation.” Dictionary, Merriam-Webster, Accessed 18 May. 2024.

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