Differential calculus | Ordinary differential equations

Binomial differential equation

In mathematics, the binomial differential equation is an ordinary differential equation containing one or more functions of one independent variable and the derivatives of those functions. For example: when is a natural number (i.e., a positive integer), and is a polynomial in two variables (i.e., a bivariate polynomial). (Wikipedia).

Video thumbnail

What is the formula for find the coefficient of any term in a binomial expansion

👉 Learn all about binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion technique to easily expand the power. The general formula for a binomial expans

From playlist Sequences

Video thumbnail

Find the third term of a binomial expansion

👉 Learn how to find the given term of a binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion technique to easily expand the power. The general formula

From playlist Sequences

Video thumbnail

Use binomial expansion to determine the 3rd term

👉 Learn how to find the given term of a binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion technique to easily expand the power. The general formula

From playlist Sequences

Video thumbnail

How to find the third term of a binomial expansion to the fifth power

👉 Learn how to find the given term of a binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion technique to easily expand the power. The general formula

From playlist Sequences

Video thumbnail

Learn to expand a binomial using binomial expansion

👉 Learn how to expand a binomial using binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion technique to easily expand the power. The general formula

From playlist Sequences

Video thumbnail

Using binomial expansion to expand a binomial to the fourth degree

👉 Learn how to expand a binomial using binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion technique to easily expand the power. The general formula

From playlist Sequences

Video thumbnail

Binomial expansion with negative numbers

👉 Learn how to expand a binomial using binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion technique to easily expand the power. The general formula

From playlist Sequences

Video thumbnail

Using binomial expansion to expand a binomial to the fourth power

👉 Learn how to expand a binomial using binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion technique to easily expand the power. The general formula

From playlist Sequences

Video thumbnail

Learn how to expand a binomial to fourth power by multiplying

👉 Learn how to expand a binomial using binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion technique to easily expand the power. The general formula

From playlist Sequences

Video thumbnail

Binomial Derivative

In this video, I define the concept of a binomial derivative (or more precisely a family of binomial derivatives), calculate a couple of examples of binomial derivatives, and give an application by solving some binomial differential equations. Note: This idea came from one of my subscrib

From playlist Calculus

Video thumbnail

Lecture 12 - Financial Time Series Data

This is Lecture 12 of the COMP510 (Computational Finance) course taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Hong Kong University of Science and Technology in 2008. The lecture slides are available at: http://www.algorithm.cs.sunysb.edu/computationalfinance/pd

From playlist COMP510 - Computational Finance - 2007 HKUST

Video thumbnail

(2.3.4) Given a Characteristic Equation, Find the 3rd Order DE and General Solutions

This video explains how to determine the characteristic equation, differential equation, and general solution given the factored form of the characteristic equation. https://mathispower4u.com

From playlist Differential Equations: Complete Set of Course Videos

Video thumbnail

Everything You Need to Pass Your A Level Maths Exam! | Pure Maths Revision | Year 1 |Edexcel AQA OCR

A video revising the techniques and strategies for all of the topics that you need to achieve a grade A in AS Pure Mathematics. These topics are all of the essential topics that appear on the AS Pure Maths curriculum. This however is not ALL of the question styles within the A Level. Fur

From playlist A-Level Maths Series - Pure Mathematics

Video thumbnail

Prove that Sum(n choose r) = 2^n

In this video we prove that Sum(n choose r) = 2^n. This proof uses the binomial theorem. The pencils I used in this video: https://amzn.to/3bCpvpt The paper I used in this video: https://amzn.to/3OQ8nuM (the above links are my affiliate links) If you enjoyed this video please consider l

From playlist Math Proofs for Beginners

Video thumbnail

Differential Equations | Homogeneous linear equations with repeated roots: Example

We solve two differential equations whose companion polynomials have repeated roots.

From playlist Linear Differential Equations

Video thumbnail

Ling Long - Hypergeometric Functions, Character Sums and Applications - Lecture 1

Title: Hypergeometric Functions, Character Sums and Applications Speaker: Prof. Ling Long, Louisiana State University Abstract: Hypergeometric functions form a class of special functions satisfying a lot of symmetries. They are closely related to the arithmetic of one-parameter families of

From playlist Hypergeometric Functions, Character Sums and Applications

Video thumbnail

Ex: Solve a Linear Second Order Homogeneous Differential Equation Initial Value Problem (equal)

This video provides example on how to solve a linear second order homogeneous differential equation with constant coefficients initial value problem when the characteristic equations has two real equal roots. Site: http://mathispower4u.com

From playlist Linear Second Order Homogeneous Differential Equations (Constant Coefficients)

Video thumbnail

Differential Equations | Reduction of Order

We present a general strategy for solving second order differential equations by using the method of reduction of order.

From playlist Differential Equations

Video thumbnail

Find the third term of a binomial to the sixth power

👉 Learn how to expand a binomial using binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion technique to easily expand the power. The general formula

From playlist Sequences

Video thumbnail

Math Book for Self-Studying Algebra and Trigonometry

This is a great book for learning algebra and trigonometry. The book is called Precalculus and it was written by Swokowski. Here is a newer version https://amzn.to/3Xmtl8o Here is another: https://amzn.to/3YDbrPV Useful Math Supplies https://amzn.to/3Y5TGcv My Recording Gear https://amzn

From playlist Book Reviews

Related pages

Polynomial | Gradshteyn and Ryzhik | Mathematics | Ordinary differential equation | Derivative