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 = 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 2
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First Known Use of bernoulli's equation
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