# Bernoulli's equation

## noun

variants
or less commonly Bernoulli equation

1

*Bernoulli*†1705 Swiss mathematician]

**:**a nonlinear differential equation of the first order that has the general form

*dy*/

*dx*+

*f*(

*x*)

*y*=

*g*(

*x*)

*y*

^{n}and that can be put in linear form by dividing through by

*y*

^{n}and making the change of variable

*Y*=

*y*

^{−n+1}

2

*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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Merriam-Webster unabridged
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