On Example 5, we find the general antiderivative of a seemingly complex differential equation. The question is, under what condition could we solve for our ubiquitous "plus C"? Under an initial condition, as Example 6 demonstrates. Duration: 8:36

Examples 7 and 8 invite us to solve a couple more initial value problems. Wait, Example 8 expects us to find a second antiderivative? That's a thing? Duration: 9:21

Example 9 presents an initial value problem from a different perspective. Instead of having a differential equation, you have its graph, and its your task to sketch the graph of the original function given that it passes through the point (-3,0).

When we first learned about rectilinear motion, the movement of a particle on a straight line, we could only go in one direction with differentiation. If we had the position function, we could take its derivative to find the velocity function. With antidifferentiation, we can now move in the opposite direction. Given a velocity function, we can take its antiderivative to derive the position function. Bird watchers rejoice! Duration: 11:32