bər¦nülē-, ¦berˌnü¦lē- noun
also ber·noul·li equation
Usage: usually capitalized B
1.
[after Jacques Bernoulli died 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 y n and making the change of variable Y = y - n +1
2.
[after Daniel Bernoulli died 1782 Swiss mathematician and scientist]
: an equation used in fluid mechanics that relates pressure, velocity, density, and gravitational acceleration — compare bernoulli effect in the Dict bernoulli's theorem 2 in the Dict