Differential Equations

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Related lectures (44)

Canonical Transformations: Existence and Equations

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

Differential Equations: Solution Methods MOOC: Electrical engineering II

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

Advanced Analysis II: Solving Separable Differential Equations

Covers the theory and methods for solving separable differential equations, focusing on existence, uniqueness, and the construction of solutions through integration.

Ordinary Differential Equations: Separable Variables

Covers ordinary differential equations with separable variables and the conditions for unique solutions in EDOs.

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.

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.

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.

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.

Ordinary differential equations Log in to Mediaspace to watch this video

Introduces ordinary differential equations of higher order and their solutions with initial conditions.

Separable Differential Equations Log in to Mediaspace to watch this video

Covers separable differential equations of order 1, defining separable equations and providing examples.

Cauchy-Euler Equations Log in to Mediaspace to watch this video

Covers the definition and solution of Cauchy-Euler equations, which are second-order differential equations with specific form and solutions.

Vertical Metronome: Equilibrium and Stability Log in to Mediaspace to watch this video

Explores equilibrium and stability of a vertical metronome system with springs.

Addition of Springs: General Physical Exercises I Log in to Mediaspace to watch this video

Covers the addition of springs in series and parallel, exploring equivalent movements.

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.

Cauchy Problem: Initial Conditions Log in to Mediaspace to watch this video

Discusses the Cauchy problem for ODEs with initial conditions and the importance of homeomorphism and Lipschitz continuity.

Differential Equations: Solutions and Periodicity Log in to Mediaspace to watch this video

Explores dense sets, Cauchy sequences, periodic solutions, and unique solutions in differential equations.

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.

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

Explores Lipschitz conditions in differential equations and their implications on solutions and properties.

Differential Equations: Introduction and Theoretical Results Log in to Mediaspace to watch this video

Covers differential equations, including examples and unique solutions.

Differential Equations: Initial Conditions and Solutions Log in to Mediaspace to watch this video

Covers the solution of differential equations with initial conditions and limit analysis.

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