A Bernoulli differential equation is an equation of the form y′+a(x)y=g(x)yν , where a(x) are g(x) are given functions, and the constant ν is assumed to be any real number other than 0 or 1. Bernoulli equations have no singular solutions.
16 нояб. 2022 г. · In this section we solve linear first order differential equations, i.e. differential equations in the form y' + p(t) y = y^n. |
Bernoulli equations are special because they are nonlinear differential equations with known exact solutions. Transformation to a linear... · Solution · Example · Notes |
| Дифференциальное уравнение Бернулли |  |
Обыкновенное дифференциальное уравнение вида:
y'+ay=by^{n}, \quad n\neq 0, \,1
называется уравнением Бернулли.
При n=2 является частным случаем уравнения Риккати. Названо в честь Якоба Бернулли, опубликовавшего это уравнение в 1695 году. Википедия
The Bernoulli differential equation is an equation of the form y ′ + p ( x ) y = q ( x ) y n y'+ p(x) y=q(x) y^n y′+p(x)y=q(x)yn. |
A Bernoulli differential equation can be written in the following standard form: dy dx. + P(x)y = Q(x)yn. , where n 6= 1 (the equation is thus nonlinear). To ... |
The Bernoulli Equation is attributed to Jacob Bernoulli (1655−1705), one of a family of famous Swiss mathematicians. Mathopolis: ... |
29 июл. 2024 г. · A differential equation is Bernoulli if it can be written in the form y' + P(x)y = Q(x)yn, where P(x) and Q(x) are continuous functions and n is ... |
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