Lectures related to Initial condition

Explains linear homogeneous recurrence relations and provides solving techniques and examples.

Explores logistic maps, bifurcations, equilibrium points, and periodic orbits in nonlinear dynamics and chaos.

Explores the application of PDEs in viscoelastic materials and materials science.

Covers the fundamentals of vibrational mechanics and solving equations for vibrating systems.

Provides an overview of the mathematical analysis of vibrating strings using Fourier series and Laplace transforms.

Covers methods to solve linear differential equations in systems with initial conditions.