Lectures related to Separation of Variables

Introduces cylindrical coordinates, forces in rigid bodies, and pendulum motion analysis, emphasizing constraints and dynamic forces.

Explores solving linear differential equations and the principle of superposition with illustrative examples.

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

Explores numerical methods like Crank-Nicolson, Heun, Euler, and RK4 for solving ODEs, emphasizing error estimation and convergence.

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

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