Advanced Analysis II: Differential Equations

Related lectures (27)

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

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

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

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

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

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

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

Discusses the reduction of higher-order differential equations to first-order systems using the implicit function theorem.

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

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