Bernoulli's equation

noun

variants or less commonly Bernoulli 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 = y⁻ⁿ⁺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

Word History

First Known Use

1830, in the meaning defined at sense 1

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