Lectures related to Advanced Analysis II: Cauchy Problem Resolution

Covers the theory and applications of optimization with constraints, including key concepts and numerical methods.

Covers energy system, numerical methods, Newton-Raphson, convergence, and efficient equation solving.

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

Covers second-order linear differential equations, focusing on their solutions and the concept of linear independence among them.

Covers the existence and uniqueness of solutions for differential equations.

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

Discusses methods for solving differential equations, focusing on undetermined coefficients and variation of constants.