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Related lectures (27)

Canonical Transformations: Existence and Equations

Explores canonical transformations, focusing on existence, equations, simplicity, and differential equations' theory.

First Order Differential Equation MOOC: Warm-up for EPFL

Covers first-order differential equations, including linear equations and applications in physics.

Differential Equations: Solution Methods MOOC: Electrical engineering II

Explores the resolution of differential equations and the properties of exponential functions in electrical engineering.

Ordinary Differential Equations: Basics

Introduces the basics of ordinary differential equations, exploring existence, uniqueness, higher dimensions, Lipschitz functions, and solution finding.

Differential Equations: Speed Variation Analysis Log in to Mediaspace to watch this video

Covers the analysis of speed variation using differential equations and small time intervals.

Numerical Analysis: Stability in ODEs Log in to Mediaspace to watch this video

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Homogeneous Differential Equations Log in to Mediaspace to watch this video

Explores solving first-order homogeneous differential equations through variable changes and delves into the Bernoulli differential equation.

Direction Fields, Euler Methods, Differential Equations Log in to Mediaspace to watch this video

Explores direction fields, Euler methods, and differential equations through practical exercises and stability analysis.

Ordinary Differential Equations: Non-linear Analysis Log in to Mediaspace to watch this video

Covers non-linear ordinary differential equations, including separation, Cauchy problems, and stability conditions.

Introduction to Ordinary Differential Equations Log in to Mediaspace to watch this video

Introduces ordinary differential equations, their order, numerical solutions, and practical applications in various scientific fields.

Material Point Model: Basics Log in to Mediaspace to watch this video

Covers the material point model, initial conditions, and Newton's laws in physics.

Linear Differential Equations Log in to Mediaspace to watch this video

Explores linear differential equations, including higher-order linear homogeneous equations and equations with constant coefficients.

Numerical Methods for ODEs: Crank-Nicolson, Heun, Euler, RK4 Log in to Mediaspace to watch this video

Explores numerical methods like Crank-Nicolson, Heun, Euler, and RK4 for solving ODEs, emphasizing error estimation and convergence.

Numerical Methods: Differential Equations Log in to Mediaspace to watch this video

Covers the application of numerical methods to solve differential equations using MATLAB.

Bernoulli Differential Equation Log in to Mediaspace to watch this video

Explores the Bernoulli differential equation, historical context, solution methods, linear homogeneous equations, and examples.

One Dimensional Harmonic Oscillator Log in to Mediaspace to watch this video

Explores the one-dimensional harmonic oscillator, equilibrium positions, and forced oscillators with external forces.

Error Estimation in Numerical Methods Log in to Mediaspace to watch this video

Explores error estimation in numerical methods for solving differential equations, focusing on local truncation error, stability, and Lipschitz continuity.

Advanced Analysis II: Differential Equations and Timers Log in to Mediaspace to watch this video

Discusses advanced analysis concepts, focusing on differential equations and timers in microcontrollers.

Linear Differential Equations Log in to Mediaspace to watch this video

Explores solving linear differential equations and the principle of superposition with illustrative examples.

Numerical Integration: Euler Method Log in to Mediaspace to watch this video

Covers the progressive Euler method for numerical integration of ODEs, including Cauchy problems and Runge-Kutta methods.

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