Slope Fields

f(x,y) =

x-y

x axis values:

xmin

-2

xmax

2

y axis values:

ymin

-3

ymax

3

number of sample points:

x axis

15

y axis

15

display points

show exact solution

initial x value

1

initial y value

1

-2

-1

1

2

-3

-2

-1

1

2

3

slope field for y

′

= x-y

This Demonstration generates a slope field for a number of differential equations. You have the option to plot a particular solution passing through one point. You can control the

x

and

y

axes as well as the number of segments plotted. You can display the midpoints of the segments.