How to use Direction fields 4

Here are instructions on how to use Direction fields 4. Let
me solve as an example of problem 1 from section 1.1 on p.7.

1. Go here.

2. You will see there a webpage that looks like this

3. Problem 1 asks to plot y’= 3 – 2y. First we need to convert this
expression so that the applet will understand us. You should write
3-2*y (star mean multiply, see the link View Instructions on using the
Applet for other formulas). Then we type in the slot eqn #1 dy/dx =
the formula:

3-2*y

and then press “Submit All” button

4. At this point, you will have something like this. Play with the parameters Min. x Max x. Min. y Max y Num of segs in order to get a better picture. See my example

5. Finally, in order to see what happens as t -> infinity, click on a few points on the y-axis. This will draw trajectories, see my example In our particular case everything goes to y=1.5