Ordinary differential equations

Bernoulli differential equation

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).

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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

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B24 Introduction to the Bernoulli Equation

The Bernoulli equation follows from a linear equation in standard form.

From playlist Differential Equations

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B25 Example problem solving for a Bernoulli equation

See how to solve a Bernoulli equation.

From playlist Differential Equations

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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

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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

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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

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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

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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

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Bernoulli ode

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

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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

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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

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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

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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

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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

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How to Solve a Bernoulli Differential Equation

How to Solve a Bernoulli Differential Equation

From playlist Differential Equations

Related pages

Jacob Bernoulli | Riccati equation | Gottfried Wilhelm Leibniz | Mathematics | Product rule | Ordinary differential equation | Real number | Derivative | Chain rule | Linear differential equation | Integrating factor