Heat and Wave Equations: Analysis IV

This lecture covers the study of the heat equation on the real line, with a partial differential equation involving a function U of two variables T and X. The lecture progresses to the wave equation on the interval [0, L] by separating variables, leading to the step-by-step resolution of both equations using Fourier transforms. The instructor explains the conditions, initial values, and the process of separating variables to find solutions for the wave equation.