# How do you draw slope fields?

esempio:

How do you draw the slope field for dy/dx = x - y?

The slope field is a cartesian grid where you draw lines in various directions to represent the slopes of the tangents to the solution. Therefore by drawing a curve through consecutive slope lines, you can find a solution to the differential equation.

Prendi l'esempio di dy/dx at (3, 4). Here we see that

dy/dx = 3 - 4 =-1

So you would draw a line of slope -1 at (3,4). Repeat this for maybe 4 by 4 points to get the following slope field

Speriamo che questo aiuti!