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 |
Videolar| 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
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 Differential Equation. How to solve this special first order differential equation. A Bernoulli equation has this form: dydx + P(x)y = Q(x)yn. |
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 ... |
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. |
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