Ordinary Differential Equations: Solving Examples and Special Cases

This lecture covers the resolution of a second-order ordinary differential equation with initial conditions, using Laplace transforms. The instructor demonstrates the step-by-step process, including simplifying fractions and applying trigonometric formulas. Special cases with positive and negative lambda values are discussed, highlighting the different nature of solutions. The lecture concludes with a detailed analysis of the solutions and their verification through differentiation and initial condition checks.