Sketch the slope field of the differential equation

The video tutorial explains how to design slope fields by understanding differential equations. It covers the process of choosing coordinate points to calculate slopes, focusing on key slopes like zero and undefined. The tutorial also discusses the graphical representation of slopes and how to analyze patterns in slope fields. Finally, it introduces the concept of a general solution and its relation to the S-curve graph.

Describe how the slope changes when plugging in negative values for X.

What is the general solution mentioned in the text, and how does it relate to the S curve graph?