Ordinary differential equations
In mathematical analysis, Clairaut's equation (or the Clairaut equation) is a differential equation of the form where f is continuously differentiable. It is a particular case of the Lagrange differential equation. It is named after the French mathematician Alexis Clairaut, who introduced it in 1734. (Wikipedia).
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
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
Differential Equations Ultimate Study Guide
First Order Differential Equations Ultimate Study Guide! The topics include separable differential equations, first-order linear differential equations, exact differential equations, almost exact differential equations, homogeneous differential equations, Bernoulli differential equations,
From playlist Ultimate Study Guide
In this video, I give a very clever proof of Clairaut's theorem, which says that if the partial derivatives f_xy and f_yx are continuous at a point, then must be equal. Usually this is proved using difference quotients, but here I give a proof using double integrals. I also give a nice pro
From playlist Partial Derivatives
In this video, I show that Isaac Newton's three laws, when coupled with his universal law of gravitation, give Kepler's three laws, a feat that Newton accomplished in 1687 in his Principia. I also show that the periods and semimajor axes of planetary and asteroid orbits obey Kepler's third
From playlist Intermediate Classical Mechanics
PDE 9 | Wave equation: general solution
An introduction to partial differential equations. PDE playlist: http://www.youtube.com/view_play_list?p=F6061160B55B0203 Part 9 topics: -- quick argument to find solutions of wave equation -- derivation of general solution of the wave equation (11:54)
From playlist Mathematical Physics II - Youtube
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
C36 Example problem solving a Cauchy Euler equation
An example problem of a homogeneous, Cauchy-Euler equation, with constant coefficients.
From playlist Differential Equations
11: Clairaut's Theorem Intuition - Valuable Vector Calculus
Clairaut's theorem, also known as Schwarz's theorem or Young's theorem, says that mixed partial derivatives are equal regardless of order: fₓᵧ = fᵧₓ. In this video, we go through an intuitive explanation based on visual geometry, then some algebra! Full Valuable Vector Calculus playlist:
From playlist Valuable Vector Calculus
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
From playlist Partial Derivatives
Multivariable Calculus | Higher partial derivatives.
We discuss higher order partial derivatives with examples and a discussion of Clairaut's Theorem. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Multivariable Calculus
My Strategy for Learning Calc 3/ A Guide to Self-Learning Calculus 3 [calculus 3 problem set 📘]
I got a few comments a while ago asking me to go through my strategy for learning calc 3. With the move and trying to figure out how to film in the new apartment I thought it would be a great time to present my guide to self-learning calculus 3 that I used way back right before I started u
From playlist The New CHALKboard
C38 Example problem solving a Cauchy Euler equation with initial values
Example problem solving a Cauchy-Euler equation with initial values.
From playlist Differential Equations
B25 Example problem solving for a Bernoulli equation
See how to solve a Bernoulli equation.
From playlist Differential Equations
C43 Example problem solving a Cauchy Euler equation
Another Cauchy-Euler equation example problem solved.
From playlist Differential Equations
C39 A Cauchy Euler equation that is nonhomogeneous
A look at what to do with a Cauchy Euler equation that is non-homogeneous.
From playlist Differential Equations
Mod-01 Lec-01 General Introduction
Ordinary Differential Equations and Applications by A. K. Nandakumaran,P. S. Datti & Raju K. George,Department of Mathematics,IISc Bangalore.For more details on NPTEL visit http://nptel.ac.in.
From playlist IISc Bangalore: Ordinary Differential Equations and Applications | CosmoLearning.org Mathematics
Mod-01 Lec-01 Introduction and Overview
Advanced Numerical Analysis by Prof. Sachin C. Patwardhan,Department of Chemical Engineering,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Bombay: Advanced Numerical Analysis | CosmoLearning.org
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