Bernoulli's differential equation was named after Jacob Bernoulli and studied in 1695. Bernoulli equation is special because it is a nonlinear differential equation with known exact solution. A special case of Bernoulli equation is logical differential equation. The mathematical Bernoulli formula is a differential equation in the form of y'+P(x) y = Q(x) y n, where n≠0, n≠ 1, where P(x) and Q(x) are known functions, because when n = 0, 1