Introduction to ODEs: System of 1st Order ODEs

Related lectures (28)

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

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

Explores the concept of separation of variables in quantum mechanics and its application in solving differential equations.

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

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

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

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

Explores biomechanical modeling of the musculoskeletal system using differential equations and finite element modeling.

Explores the use of PDEs and ODEs in biomechanics, including the Lotka-Volterra model.

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