Lectures related to Cauchy Problem Resolution: General Solution Approach

Demonstrates the process of solving a Cauchy problem for a differential equation with specific initial conditions.

Covers the stages of the explicit Runge-Kutta method for approximating y(t) with detailed explanations.

Covers the application of numerical methods to solve differential equations using MATLAB.

Covers methods for solving first-order linear ordinary differential equations.

Covers linear differential equations of the second order with constant coefficients, focusing on solution methods for various discriminant cases.

Discusses the numerical analysis of pollutant transport equations and their applications in environmental modeling.

Explores the stability analysis of finite difference methods for solving differential equations.