Lectures related to Behavior of Trajectories

Explores asymptotic solutions of differential equations and their behavior in different scenarios.

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

Covers partial derivatives, differentiability, differential equations, sets properties, and local extrema verification.

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

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

Covers solving linear inhomogeneous differential equations and finding their general solutions using the method of variation of constants.

Covers solutions of differential equations with initial conditions and boundedness concepts.