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 (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
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
B24 Introduction to the Bernoulli Equation
The Bernoulli equation follows from a linear equation in standard form.
From playlist 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
B25 Example problem solving for a Bernoulli equation
See how to solve a Bernoulli equation.
From playlist Differential Equations
Bernoulli First Order Equations - Intro
Updated version available! https://youtu.be/IZQa5jGMVS8
From playlist Mathematical Physics I Youtube
Advice for Amateur Mathematicians |Bernoulli Polynumbers and Euler Maclaurin summation | Wild Egg
We introduce the Bernoulli polynomials built from the Bernoulli numbers and binomial coefficients. These are important ingredients in a famous formula of Calculus that connects finite summations and integrations due to Euler and Maclaurin. More details about this particular application wil
From playlist Maxel inverses and orthogonal polynomials (non-Members)
Advice | Exponentializing polyseries to get triangular on-maxels, and tilde Euler polynomials
Motivated by the relation between Bernoulli numbers and Bernoulli polynomials, we introduce a very general and powerful approach to move from sequences or polyseries to families of polynomials or polynumbers. When we apply this to the Euler numbers, we obtain a variant of the usual Euler
From playlist Maxel inverses and orthogonal polynomials (non-Members)
Advice | Variants of the Bernoulli numbers via an AI approach to maths research | Wild Egg Maths
We advocate a simple minded AI approach to pure maths research: start with a basic, central object in mathematics, and just systematically explore the possibilities adjacent to it, where adjacent means roughly that we perform small variants and see what happens. To illustrate the strategy
From playlist Maxel inverses and orthogonal polynomials (non-Members)
Advice for amateur mathematicians | More magic, with Euler numbers and Euler polynomials | Wild Egg
From the Bernoulli numbers and Bernoulli polynomials, it is a small step to consider Euler numbers and Euler polynomials. We of course pursue our basic strategy of incorporating these things into our two dimensional number theoretic point of view, and then utilizing linear algebra / matrix
From playlist Maxel inverses and orthogonal polynomials (non-Members)
The Basel Problem Part 1: Euler-Maclaurin Approximation
This is the first video in a two part series explaining how Euler discovered that the sum of the reciprocals of the square numbers is π^2/6, leading him to define the zeta function, and how Riemann discovered the surprising connection between the zeroes of the zeta function and the distrib
From playlist Analytic Number Theory
Advice for research mathematicians | Bernoulli numbers and Faulhaber's sums of powers | WIld Egg
The Bernoulli numbers are an intriguing family of rational numbers that arise in many areas of analysis. We introduce them in the context of J. Faulhaber's formulas for sums of powers of natural numbers, which in fact give us another important family of polynomials or polynumbers. These n
From playlist Maxel inverses and orthogonal polynomials (non-Members)
Faulhaber's Formula and Bernoulli Numbers | Algebraic Calculus One | Wild Egg
This is a lecture in the Algebraic Calculus One course, which will present an exciting new approach to calculus, sticking with rational numbers and high school algebra, and avoiding all "infinite processes", "real numbers" and other modern fantasies. The course will be carefully framed on
From playlist Algebraic Calculus One from Wild Egg
The Derivative, the Integral, and the formula Faulhaber missed | Algebraic Calculus One | Wild Egg
In this video we present a new simplified inductive procedure to determine Faulhaber polynomials for sums of powers of natural numbers, and the closely associated Bernoulli numbers that what essentially discovered by Jacobi in 1834, and which John Conway also described in his lecture at ht
From playlist Algebraic Calculus One from Wild Egg
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
Polynomials, Matrices and Pascal Arrays | Algebraic Calculus One | Wild Egg
We introduce some basic orientation towards polynomials and matrices in the context of the Pascal-type arrays that figured in our analysis of the Faulhaber polynomials and Bernoulli numbers in the previous video. The key is to observe some beautiful factorizations that occur involving diag
From playlist Algebraic Calculus One from Wild Egg
Diffuse Decompositions of Polynomials - Daniel Kane
Daniel Kane Stanford University April 22, 2013 We study some problems relating to polynomials evaluated either at random Gaussian or random Bernoulli inputs. We present some new work on a structure theorem for degree-d polynomials with Gaussian inputs. In particular, if p is a given degree
From playlist Mathematics
How to Solve a Bernoulli Differential Equation
How to Solve a Bernoulli Differential Equation
From playlist Differential Equations