Solving Separable Equations

This lecture covers the method for solving separable equations y(x) = g(x)h(y(x)), where g and h are continuous functions. The process involves finding the zeros of h, separating the variables, integrating with respect to x, and determining y(x) when possible. Examples are provided to illustrate the general solution of differential equations. Additionally, the lecture discusses solving linear homogeneous equations y'(x) = g(x)y(x) and presents a simple population growth model based on the assumption that the variation in the number of individuals is proportional to the current number of individuals.