Population Growth and Temperature Variation

This lecture covers a simple model of population growth where the number of individuals is proportional to the existing population. It also discusses the variation of a body's temperature over time in relation to the ambient temperature, presenting differential equations and solutions. The instructor explains linear homogeneous and inhomogeneous differential equations, providing methods to find general solutions and solve linear equations. The lecture concludes with the concept of guessing solutions and the method of variation of constants for solving linear equations. Emphasis is placed on understanding the theoretical framework and practical applications of differential equations.