Introduction and Theoretical Results

Related lectures (29)

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

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

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

Covers the numerical resolution of differential equations, focusing on first-order equations and Euler diagrams.

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

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

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

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

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

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