Question 1
What is a slope field for a differential equation?
Question 2
For the differential equation $\frac{dy}{dx} = x + y$, what is the slope at the point $(1,2)$?
Question 3
For the differential equation $\frac{dy}{dx} = x$, what happens to the slope field along any vertical line?
Question 4
Which differential equation has horizontal line segments everywhere along the line $y = 3$?
Question 5
Why are slope fields useful for differential equations?
