Ordinary differential equations
In mathematics, an ordinary differential equation is called a Bernoulli differential equation if it is of the form where is a real number. Some authors allow any real , whereas others require that not be 0 or 1. The equation was first discussed in a work of 1695 by Jacob Bernoulli, after whom it is named. The earliest solution, however, was offered by Gottfried Leibniz, who published his result in the same year and whose method is the one still used today. Bernoulli equations are special because they are nonlinear differential equations with known exact solutions. A notable special case of the Bernoulli equation is the logistic differential equation. (Wikipedia).
Solve a Bernoulli Differential Equation (Part 2)
This video provides an example of how to solve an Bernoulli Differential Equation. The solution is verified graphically. Library: http://mathispower4u.com
From playlist Bernoulli Differential Equations
B24 Introduction to the Bernoulli Equation
The Bernoulli equation follows from a linear equation in standard form.
From playlist Differential Equations
B25 Example problem solving for a Bernoulli equation
See how to solve a Bernoulli equation.
From playlist Differential Equations
Solve a Bernoulli Differential Equation (Part 1)
This video provides an example of how to solve an Bernoulli Differential Equation. The solution is verified graphically. Library: http://mathispower4u.com
From playlist Bernoulli Differential Equations
Solve a Bernoulli Differential Equation Initial Value Problem
This video provides an example of how to solve an Bernoulli Differential Equations Initial Value Problem. The solution is verified graphically. Library: http://mathispower4u.com
From playlist Bernoulli Differential Equations
Ex: Solve a Bernoulli Differential Equation Using an Integrating Factor
This video explains how to solve a Bernoulli differential equation. http://mathispower4u.com
From playlist Bernoulli Differential Equations
Ex: Solve a Bernoulli Differential Equation Using Separation of Variables
This video explains how to solve a Bernoulli differential equation. http://mathispower4u.com
From playlist Bernoulli Differential Equations
Solving the Bernoulli Differential Equation x^2(dy/dx) + y^2 = xy
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys How to solve a Bernoulli Differential Equation
From playlist Differential Equations
Illustrates the solution of a Bernoulli first-order differential equation. Free books: http://bookboon.com/en/differential-equations-with-youtube-examples-ebook http://www.math.ust.hk/~machas/differential-equations.pdf
From playlist Differential Equations with YouTube Examples
How to Solve the Bernoulli Differential Equation y' + xy = xy^2
How to Solve the Bernoulli Differential Equation y' + xy = xy^2 If you enjoyed this video please consider liking, sharing, and subscribing. Udemy Courses Via My Website: https://mathsorcerer.com My FaceBook Page: https://www.facebook.com/themathsorcerer There are several ways that yo
From playlist Bernoulli Differential Equations
The Catenary (hanging chain), how it was first solved.
The catenary is the mathematical shape of a hanging chain. Describing this shape is one of the famous original problems of calculus. I discuss the history of the problem, how it was determined that the curve was not a parabola, how to model the curve with a differential equation based on t
From playlist Tricky Parts of Calculus
Bernoulli Differential Equations: Differential Equations Lesson #4
Some of the links below are affiliate links. As an Amazon Associate I earn from qualifying purchases. If you purchase through these links, it won't cost you any additional cash, but it will help to support my channel. Thank you! ►PRODUCT RECOMMENDATIONS https://www.amazon.com/shop/brithem
From playlist Differential Equations
Alternate solution to generalised Bernoulli equations via an integrating factor: An Exact Approach
New mathematical / pedagogical research http://dx.doi.org/10.1080/0020739X.2016.1272143 Enjoy!! Solution methods to exact differential equations via integrating factors have a rich history dating back to Euler (1740) and the ideas enjoy applications to thermodynamics and electromagnetism.
From playlist Differential equations
How to Solve Bernoulli Differential Equations (Differential Equations 23)
https://www.patreon.com/ProfessorLeonard An explanation on how to solve Bernoulli Differential Equations with substitutions and several examples.
From playlist Differential Equations
How to Solve a Bernoulli Differential Equation
How to Solve a Bernoulli Differential Equation
From playlist Differential Equations