4.2.2

Instructor: Now, using this direction field, we can also then sketch the solution curve passing the point negative 1, 2. So what we would do is begin at that point, negative 1, 1. That would be right here. If you notice-- and I'm going to draw this in circles actually so that you can still see the direction field. 

So, if you continue on in the direction of this until you get to the next of our points, we sort of follow that. So that would go sort of in this direction. Oh, we have a point that as a slope. So we then change direction right here. 

That continues until we get to this point here, which means we go 0. And then, at this point, we sort of turn our direction, and we actually just sort of bounce along these points. And they should-- they start increasing, become 0, then increase, then become 0, then increase. And we end up with something that, beginning at this point, follows along this graphed curve.