Below are the slope fields we saw in class in Week 1. On the left is the slope field, and on the right is the slope field together with several solution curves.

Slope field for \frac{\text{d}y}{\text{d}x} = 3x^2

Slope field for \frac{\text{d}y}{\text{d}x} = y-x

Slope field for \frac{\text{d}y}{\text{d}x} = y(2-y)

6‹^

There should be more solution curves drawn in the picture on the right, but Mathematica stubbornly refused to plot them.