Non-linear Problem Solving

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Related lectures (46)

Linear Homogeneous Equations

Covers second-order linear homogeneous differential equations and their solutions.

Differential Equations: Solution Methods MOOC: Electrical engineering II

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

Finite Differences Method MOOC: Numerical Analysis for Engineers

Covers the finite differences method for approximating solutions to differential equations through discretization and linear systems.

Method of Undetermined Coefficients

Explores the method of undetermined coefficients for solving non-homogeneous linear differential equations with constant coefficients.

General Solution of Homogeneous Second Order Linear Differential Equations

Covers the general solution of homogeneous second-order linear differential equations with constant coefficients and the concept of linear independence of solutions.

Canonical Transformations: Existence and Equations

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

Euler Retrograde Scheme MOOC: Numerical Analysis for Engineers

Explores the Euler retrograde scheme, its implicit nature, and application in solving differential equations.

Numerical Methods: Boundary Value Problems

Explores boundary value problems, finite difference method, and Joule heating examples in 1D.

Finite Differences Method: Error Division and Schemes MOOC: Numerical Analysis for Engineers

Covers error division and schemes for solving differential equations.

Linearly Independent Solutions and Quadratic Equations

Explores linearly independent solutions in quadratic equations and the role of constants in trigonometric solutions.

Linear Differential Equations

Covers the solution of linear differential equations of the first order, both homogeneous and inhomogeneous cases.

First Order Differential Equation MOOC: Warm-up for EPFL

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

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.

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.

Linear Differential Equations Log in to Mediaspace to watch this video

Covers linear differential equations of order n with constant coefficients and how to find their general solutions.

General Solution of Inhomogeneous ED Log in to Mediaspace to watch this video

Covers the general solution of inhomogeneous differential equations and explores linear dependence, uniqueness theorems, and second-order equations.

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.

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.

Homogeneous Solutions: Linear Independence Log in to Mediaspace to watch this video

Explores finding particular solutions for homogeneous differential equations, emphasizing linear independence and variation of constants.

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.

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