Site icon R-bloggers

Generate slope fields in R and Python

[This article was first published on The Beginner Programmer, and kindly contributed to R-bloggers]. (You can report issue about the content on this page here)
Want to share your content on R-bloggers? click here if you have a blog, or here if you don't.

Here is a short post on how to generate a quick slope field in R and Python.

If you do not know what a slope field is, well I am not the best person to explain it to you since it is a relative new concept for me as well. From what I’ve understood on the subject, a slope field is a graphical way to sort out a first-order differential equation and get a grasp at the solution without having to solve it analytically.

As the Wikipedia’s page says, “it may be used to qualitatively visualize solutions, or to numerically approximate them.”

In general, I feel safe saying that a slope field is some sort of a graphical approach to a differential equation.

Say you have the following differential equation:

drawing the slope field would look something like this:
In Python (without arrows)

and in R (with arrows, x=f and y=h)

Of course these plots are just very quick and can be improved.

Here is the Python code I used to draw them.


And the R code


Here is a beautiful slope field for the following differential equation:


In Python


If you need a quick tool for drawing slope fields, this online resource is good, click here.


Hope this was interesting.

To leave a comment for the author, please follow the link and comment on their blog: The Beginner Programmer.

R-bloggers.com offers daily e-mail updates about R news and tutorials about learning R and many other topics. Click here if you're looking to post or find an R/data-science job.
Want to share your content on R-bloggers? click here if you have a blog, or here if you don't.