Lectures related to Ordinary differential equations

Explores vibratory mechanics in continuous systems, covering separation of variables, boundary conditions, and harmonic solutions.

Explores canonical transformations, the Hamilton-Jacobi equation, symplectic groups, and differential equations in physics.

Covers differential equations, including examples and unique solutions.

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

Explores energy conservation in wave equations, emphasizing uniqueness, existence of solutions, and stability.

Explores fluid friction forces, including laminar and turbulent flow, viscosity, and terminal velocity calculation.