Ordinary differential equations

Reduction of order

Reduction of order is a technique in mathematics for solving second-order linear ordinary differential equations. It is employed when one solution is known and a second linearly independent solution is desired. The method also applies to n-th order equations. In this case the ansatz will yield an (n−1)-th order equation for . (Wikipedia).

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Reduction of Order - Linear Second Order Homogeneous Differential Equations Part 2

This video explains how to apply the method of reduction of order to solve a linear second order homogeneous differential equations. Site: http://mathispower4u

From playlist Second Order Differential Equations: Reduction of Order

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Reduction of Order - Linear Second Order Homogeneous Differential Equations Part 1

This video explains how to apply the method of reduction of order to solve a linear second order homogeneous differential equations. Site: http://mathispower4u

From playlist Second Order Differential Equations: Reduction of Order

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C03 Example problem using reduction of order

An example problem using the method of reduction of order to solve for a second-order linear ODE.

From playlist Differential Equations

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C04 Example problem using reduction of order

An example problem using the method of reduction of order to solve for a second-order linear ODE.

From playlist Differential Equations

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C02 Reduction of order

The first method for solving second order linear ODE's uses reduction in order. In this method the second derivative is reduced to a first derivative in the dependent variable, which can usually be solved by separation of variables, or by introduction an integrating factor.

From playlist Differential Equations

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C06 Example problem using reduction of order

Another example problem using reduction in order to solve a second-order, linear ODE.

From playlist Differential Equations

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C05 Example problem using reduction of order

Another example problem using reduction in order to solve a second-order, linear ODE, with one of the solutions given.

From playlist Differential Equations

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Reduction of Order, Basic Example

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Reduction of Order, Basic Example. Here i use Reduction of Order to find a second solution and the general solution of a differential equation given one known

From playlist Differential Equations

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6A Matrix Reduction with Gauss Elimination-YouTube sharing.mov

The complicated issue of row reduction using elementary row operations (Gauss elimination).

From playlist Linear Algebra

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DDPS | Model order reduction assisted by deep neural networks (ROM-net)

In this talk from June 10, 2021, David Ryckelynck of MINES ParisTech University discusses a general framework for projection-based model order reduction assisted by deep neural networks. The proposed methodology, called ROM-net [1], consists in using deep learning techniques to adapt the

From playlist Data-driven Physical Simulations (DDPS) Seminar Series

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Talk by Emile Takahiro Okada (University of Oxford, UK)

The Wavefront Set of Spherical Arthur Representations

From playlist Seminars: Representation Theory and Number Theory

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Elliptic Curves - Lecture 19a - Elliptic curves over local fields (more on torsion points)

This video is part of a graduate course on elliptic curves that I taught at UConn in Spring 2021. The course is an introduction to the theory of elliptic curves. More information about the course can be found at the course website: https://alozano.clas.uconn.edu/math5020-elliptic-curves/

From playlist An Introduction to the Arithmetic of Elliptic Curves

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PoM #19 Batteries

HSC Chemistry. Production of Materials. Galvanic cells - batteries. Calculating the Eo values.

From playlist HSC Chemistry - Production of Materials

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DDPS | Model reduction with adaptive enrichment for large scale PDE constrained optimization

Talk Abstract Projection based model order reduction has become a mature technique for simulation of large classes of parameterized systems. However, several challenges remain for problems where the solution manifold of the parameterized system cannot be well approximated by linear subspa

From playlist Data-driven Physical Simulations (DDPS) Seminar Series

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Gene Golub's SIAM summer school, Matrix Equations and Model Reduction, Lecture 1

Gene Golub's SIAM summer school presents Matrix Equations and Model Reduction by Peter Benner; Lecture 1

From playlist Gene Golub SIAM Summer School Videos

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Minicourse: Deformations of path algebras of quivers with relations. Lecture III

The minicourse consists of 4 lectures. Lecturers: Severin Barmeier and Zhengfang Wang Path algebras of quivers with relations naturally occur throughout representation theory and algebraic geometry — for example in the representation theory of finite-dimensional algebras, as the coordin

From playlist Minicourse: Deformations of path algebras of quivers with relations, JTP New Trends in Representation Theory

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DDPS | Towards reliable, efficient, and automated model reduction of parametrized nonlinear PDEs

Description: Many engineering tasks, such as parametric study and uncertainty quantification, require rapid and reliable solution of partial differential equations (PDEs) for many different configurations. In this talk, we consider goal-oriented model reduction of parametrized nonlinear PD

From playlist Data-driven Physical Simulations (DDPS) Seminar Series

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Frédéric Chyzak

Generalized Hermite Reduction, Creative Telescoping, and Definite Integration of D-Finite Functions Hermite reduction is a classical algorithmic tool in symbolic integration. It is used to decompose a given rational function as a sum of a function with simple poles and the derivative of a

From playlist DART X

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Reduction of Order - Why It Works

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Reduction of Order, Basic Example http://www.youtube.com/watch?v=oQSFW8BIrY0 Reduction of Order - Why It Works. In this video, I give a proof / justification

From playlist All Videos - Part 1

Related pages

Ansatz | Linear independence | Differential equation | Characteristic equation (calculus) | Mathematics | Ordinary differential equation | Exponential function | Variation of parameters | Wronskian | Integrating factor | Discriminant