Ordinary differential equations | Differential equations
A differential equation can be homogeneous in either of two respects. A first order differential equation is said to be homogeneous if it may be written where f and g are homogeneous functions of the same degree of x and y. In this case, the change of variable y = ux leads to an equation of the form which is easy to solve by integration of the two members. Otherwise, a differential equation is homogeneous if it is a homogeneous function of the unknown function and its derivatives. In the case of linear differential equations, this means that there are no constant terms. The solutions of any linear ordinary differential equation of any order may be deduced by integration from the solution of the homogeneous equation obtained by removing the constant term. (Wikipedia).
Determine if a First-Order Differential Equation is Homogeneous - Part 1
This video explains how to determine if a given linear first order differential equation is homogeneous using the ratio definition. Website: http://mathispower4u.com
From playlist First Order Homogeneous Differential Equations
Introduction to Homogeneous Differential Equations
Introduction to Homogeneous Differential Equations A full introduction to homogeneous differential equations.
From playlist Differential Equations
A first example problem solving a linear, second-order, homogeneous, ODE with variable coefficients around a regular singular point.
From playlist Differential Equations
C07 Homogeneous linear differential equations with constant coefficients
An explanation of the method that will be used to solve for higher-order, linear, homogeneous ODE's with constant coefficients. Using the auxiliary equation and its roots.
From playlist Differential Equations
Differential Equations | Homogeneous linear equations with constant coefficients
We introduce the strategy used for solving homogeneous linear differential equations with constant coefficients.
From playlist Linear Differential Equations
B23 Example problem solving for a homogeneous DE
The first substitution changes a DE in differential form that could not otherwise be solved (it is not exact, nor can it be changed into an exact equation by using an integrating factor) into a DE in which separation of variables can be applied. Make sure the DE is homogeneous, though.
From playlist Differential Equations
Homogeneous Differential Equations: Differential Equations Lesson #6
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From playlist Differential Equations
Solve a First-Order Homogeneous Differential Equation in Differential Form - Part 2
This video provides an example how to to solve a homogeneous differential equation in differential form. Site: http://mathispower4u.com Search: http://mathispower4u.wordpress.com
From playlist First Order Homogeneous Differential Equations
C49 Example problem solving a system of linear DEs Part 1
Solving an example problem of a system of linear differential equations, where one of the equations is not homogeneous. It's a long problem, so this is only part 1.
From playlist Differential Equations
Prove the Form of the General Solution to a Linear Second Order Nonhomogeneous DE
This video explains the form of the general solution to linear second order nonhomogeneous differential equations. Site: http://mathispower4u.com
From playlist Linear Second Order Nonhomogeneous Differential Equations: Method of Undetermined Coefficients
Nonhomogeneous Linear Ordinary Differential Equations
In the previous video (https://youtu.be/3Kox-3APznI) we examined solving homogeneous linear ordinary differential equations (the forcing function was equal to 0). In this video we discuss how to solve nonhomogeneous linear ordinary differential equations which has the forcing function equ
From playlist Ordinary Differential Equations
Why Homogeneous Differential Equations Become Separable
If you have a DE of the form Mdx + Ndy = 0, we say it is homogeneous if both M and N are homogeneous functions of the same degree. If we let y = ux or x = vy we can then transform this DE into a separable DE. In this video I explain why this actually happens. This video does not give an ac
From playlist Homogeneous Differential Equations
MATH2018 Lecture 5.3 Non-homogeneous second-order ODEs
When an ODE has a non-zero right-hand side (the ODE is "non-homogeneous") we split the solution into two parts: the first part is simply the solution to the homogeneous equation; the second part deals with the term on right-hand side.
From playlist MATH2018 Engineering Mathematics 2D
Inhomogeneous second-order ode | Lecture 19 | Differential Equations for Engineers
How to solve an inhomogeneous, linear, second-order differential equation. Join me on Coursera: https://www.coursera.org/learn/differential-equations-engineers Lecture notes at http://www.math.ust.hk/~machas/differential-equations-for-engineers.pdf Subscribe to my channel: http://www.yo
From playlist Differential Equations for Engineers
Differential Equation - Introduction (16 of 16) 2nd Order Differential Eqn. Linear Non-Homogeneous
Visit http://ilectureonline.com for more math and science lectures! In this video I will describe 2nd order linear non-homogeneous differential equations. Firstt video in the Introduction series can be seen at: https://youtu.be/rLS4Q0KoSGI
From playlist DIFFERENTIAL EQUATIONS 1 - INTRODUCTION
Mod-03 Lec-10 First Order Linear Equations
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
Ex 1: Method of Undetermined Coefficients to Find the General Solution (exponential)
This video provides an example of how to find the general solution to a linear second order nonhomogeneous differential equation using the method of undetermined coefficients. Site: http://mathispower4u.com
From playlist Linear Second Order Nonhomogeneous Differential Equations: Method of Undetermined Coefficients
The method of undetermined coefficients -- differential equations 11
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From playlist Differential Equations
Differential Equations: Homogeneous DEs Introduction
Useful in their own right, homogeneous differential equations also provide a foundation for the solutions to nonhomogeneous differential equations. In this video, we explore homogeneous differential equations and possible solutions to them.
From playlist Differential Equations
(0.3.101) Exercise 0.3.101: Classifying Differential Equations
This video explains how to classify differential equations based upon their properties https://mathispower4u.com
From playlist Differential Equations: Complete Set of Course Videos