In mathematics, particularly in the fields of nonlinear dynamics and the calculus of variations, the Chaplygin problem is an isoperimetric problem with a differential constraint. Specifically, the problem is to determine what flight path an airplane in a constant wind field should take in order to encircle the maximum possible area in a given amount of time. The airplane is assumed to be constrained to move in a plane, moving at a constant airspeed v, for time T, and the wind is assumed to move in a constant direction with speed w. The solution of the problem is that the airplane should travel in an ellipse whose major axis is perpendicular to w, with eccentricity w/v. (Wikipedia).
How to solve Chebyshev's equation
I show how to solve Chebyshev's differential equation via an amazing substitution. The substitution results in forming a new differential equation with constant coefficients.
From playlist Differential equations
B05 Example problem with separable variables
Solving a differential equation by separating the variables.
From playlist Differential Equations
B06 Example problem with separable variables
Solving a differential equation by separating the variables.
From playlist Differential Equations
B04 Example problem with separable variables
Solving a differential equation by separating the variables.
From playlist Differential Equations
B07 Example problem with separable variables
Solving a differential equation by separating the variables.
From playlist Differential Equations
Introduction to Parametric Equations
This video defines a parametric equations and shows how to graph a parametric equation by hand. http://mathispower4u.yolasite.com/
From playlist Parametric 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
Solve the general solution for differentiable equation with trig
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution and the particular solution. The general solution give
From playlist Differential Equations
In this video, I state and prove Chebyshev's inequality, and its cousin Markov's inequality. Those inequalities tell us how big an integrable function can really be. Enjoy!
From playlist Real Analysis
The Complexity of Gradient Descent: CLS = PPAD ∩ PLS - Alexandros Hollender
Computer Science/Discrete Mathematics Seminar I Topic: The Complexity of Gradient Descent: CLS = PPAD ∩ PLS Speaker: Alexandros Hollender Affiliation: University of Oxford Date: October 11, 2021 We consider the problem of computing a Gradient Descent solution of a continuously different
From playlist Mathematics
Lecture 20 - Introduction to NP-completeness
This is Lecture 20 of the CSE373 (Analysis of Algorithms) taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 1997. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/video-lectures/1997/lecture22.pdf
From playlist CSE373 - Analysis of Algorithms - 1997 SBU
MIT 6.006 Introduction to Algorithms, Spring 2020 Instructor: Erik Demaine View the complete course: https://ocw.mit.edu/6-006S20 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63EdVPNLG3ToM6LaEUuStEY This lecture discusses computational complexity and introduces termi
From playlist MIT 6.006 Introduction to Algorithms, Spring 2020
Problem Solving Skills | How to Improve Your Problem Solving Skills? | Softskills | Simplilearn
This video on how to improve your problem-solving skills is focused on excellent tips that will enhance your Problem-Solving skill like Decision making, Critical Thinking, Active listening, Creativity, and many more, both in your personal and professional life. In this tutorial, we will se
From playlist Interview Tips | Interview Tips in English | Simplilearn 🔥[2022 Updated]
Defining Problems as a Tool for Maximizing Systemic Impact
This webinar will explain the relationship between how we define problems and our ability to forecast the positive and negative externalities associated with a problem’s potential solution set. Matt will draw on his personal experience and background in commodity corn farming to demonst
From playlist Leadership & Management
5 Simple Steps for Solving Dynamic Programming Problems
In this video, we go over five steps that you can use as a framework to solve dynamic programming problems. You will see how these steps are applied to two specific dynamic programming problems: the longest increasing subsequence problem and optimal box stacking. The five steps in order ar
From playlist Problem Solving
Lecture 23 - Cook's Theorem & Harder Reductions
This is Lecture 23 of the CSE373 (Analysis of Algorithms) taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 1997. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/video-lectures/1997/lecture25.pdf
From playlist CSE373 - Analysis of Algorithms - 1997 SBU
This is Lecture 21 of the CSE373 (Analysis of Algorithms) taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 1997. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/video-lectures/1997/lecture23.pdf
From playlist CSE373 - Analysis of Algorithms - 1997 SBU
B25 Example problem solving for a Bernoulli equation
See how to solve a Bernoulli equation.
From playlist Differential Equations
NP Completeness III - More Reductions - Lecutre 17
All rights reserved for http://www.aduni.org/ Published under the Creative Commons Attribution-ShareAlike license http://creativecommons.org/licenses/by-sa/2.0/ Tutorials by Instructor: Shai Simonson. http://www.stonehill.edu/compsci/shai.htm Visit the forum at: http://www.coderisland.c
From playlist ArsDigita Algorithms by Shai Simonson