Ordinary Differential Equations
Comprehensive introduction to ordinary differential equations, covering key concepts, methods, and applications in physics and engineering.
Partial Differential Equations
Explore partial differential equations through various methods, including characteristic, coordinate, and transform approaches. Learn to solve wave and heat equations using advanced techniques.
Differential Equations
Explore differential equations through various techniques, including separation of variables, integrating factors, exact equations, series solutions, Laplace transforms, and systems of linear equations.
Differential Equations - Vol 1
Explore fundamental concepts and applications of ordinary differential equations, including solving techniques, graphing, and real-world applications in mixing, cooling, and electrical circuits.
Solving the Wave Equation with Separation of Variables and Guitar String Physics
Explore wave equation solutions using separation of variables, with applications to guitar string physics. Gain insights into optics, acoustics, and fundamental physics concepts.
PDE 101 - Separation of Variables or How I Learned to Stop Worrying and Solve Laplace's Equation
Explore the powerful Separation of Variables technique for solving PDEs, focusing on Laplace's equation in 2D for steady-state heat distribution, with applications in physics and engineering.
Slope Fields - Calculus
Learn to draw slope fields, sketch solution curves, and solve differential equations using practical examples and exercises in this comprehensive calculus tutorial.
Homogeneous Differential Equations
Learn to solve first-order homogeneous differential equations using substitution and separation of variables, with examples and practice problems for finding general solutions and solving initial value problems.
Tensor Train Algorithms for Stochastic PDE Problems - Sergey Dolgov, University of Bath
Explore tensor train algorithms for stochastic PDE problems, focusing on high-dimensional function approximation, Bayesian inversion, and efficient sampling methods for inverse problems.
Calculus 2 - Solving First Order Differential Equations By Separation of Variables
Learn to solve first-order differential equations using separation of variables, a fundamental technique in calculus. Master this essential skill for advanced mathematical problem-solving.
Using Partial Fractions in Differential Equations
Learn to apply partial fractions in solving differential equations, focusing on separation of variables techniques. Enhance your problem-solving skills in advanced calculus.
Solving Homogeneous First Order Differential Equations
Learn to solve homogeneous first-order differential equations using separation of variables, with a review of integration techniques for comprehensive understanding.
Separable Differential Equations
Learn to solve separable differential equations using separation of variables, with numerous examples to reinforce understanding and practical application.
NOC - Partial Differential Equations for Engineers - Solution
Explore advanced techniques for solving partial differential equations in engineering, covering various coordinate systems and problem types across multiple dimensions.
Oxford Calculus - Separable Solutions to PDEs
Learn to solve partial differential equations using separable solutions with Oxford mathematician Dr Tom Crawford. Includes examples, practice worksheets, and links to a free calculator app for checking your work.
Oxford Calculus - Separation of Variables Integration Technique Explained with Examples
Learn to solve first order separable differential equations using the separation of variables method, with worked examples and practice exercises from an Oxford mathematician.
The Laplace Equation in Spherical Coordinates: Illustrative Examples - Lecture 72
Explore illustrative examples of the Laplace Equation in spherical coordinates, enhancing understanding of this fundamental concept in mathematical physics.
The Laplace Equation in Spherical Coordinates: Solution - Lecture 71
Solve the Laplace equation in spherical coordinates, exploring methods and techniques for finding solutions to this fundamental partial differential equation.
Structure Constants in N = 4 SYM and Separation of Variables - 2022
Explore structure constants in N=4 SYM, focusing on three-point functions, integrability, and key ideas like asymptotic wrapping and one-loop expressions.
Separation of Variables and Correlation Functions from Spin Chains to CFT
Explore separation of variables and correlation functions in spin chains and CFT, bridging condensed matter physics and quantum field theory.