In mathematics, an Abel equation of the first kind, named after Niels Henrik Abel, is any ordinary differential equation that is cubic in the unknown function. |
| Abel equation of the first kind |  |
В математике уравнение Абеля первого рода, названное в честь Нильса Хенрика Абеля, — это любое обыкновенное дифференциальное уравнение, кубическое относительно неизвестной функции. Другими словами, это уравнение вида
где. Википедия (Английский язык)
x = y + f(x). Abel equation (Abel differential equation) of the second kind in the canonical form. 1. Solvable Abel equations. |
Since Abel's identity relates to the different linearly independent solutions of the differential equation, it can be used to find one solution from the other. Statement · Remarks · Proof · Generalization |
Abel Differential Equation of the Second Kind. 26. yy' x = f(x)y2 + g(x)y + h(x). Abel differential equation of the second kind. 1◦ . The substitution y = E ... |
Therefore, Abel differential equation is approximately transformed to a system of nonlinear equations that gives a solvable system in matrix form. ... |
4 июл. 2012 г. · Abel's differential equations of the first kind represent a natural generalization of the Riccati equation. |
The Abel differential equation of the first and of the second kind are both nonhomogeneous differential equations of first order and are related by a ... |
1 нояб. 2022 г. · We study the rational solutions of the Abel equation x ′ = A ( t ) x 3 + B ( t ) x 2 where A and B ∈ C [ t ] . |
Videolar| Некоторые результаты поиска могли быть удалены в соответствии с местным законодательством. Подробнее... |
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