---
title:                                  ODEs with Python
tagline:                                interactive evaluation
date:                                   2022-03-28 00:00:00
description: >
                                        The package nbinteract aims to enable authors and educators to create and
                                        share interactive web pages easily. Interactive explanations of concepts are
                                        useful for communicating and explaining tricky concepts.
keywords: >
                                        opensource, free, load, download, start, starter, example,
                                        high, easy, use, secure, encrypt, standard, popular,
                                        generate, create, learn, distribute, publish, deploy,
                                        beginner, advanced, expert, student, learner, educator,
                                        writer, reader, visitor,
                                        framework, toolkit, integration, extension, module, api,
                                        dynamic, static, generator, client, server, internet, local, localhost,
                                        page, web, website, webdesign, material, design, responsive,
                                        javascript, nodejs, ruby, windows, linux, osx, mac, os,
                                        http, https, html, html5, css, scss, style,
                                        browser, firefox, chrome, edge, opera, safari,
                                        configuration, generator, navigation, menu, dropdown, fab, action, button,
                                        application, interface, provider, api, repository,
                                        cookie, language, translation, gdpr, dsgvo, privacy,
                                        asciidoc, aciidoctor, bootstrap, jekyll, liquid,
                                        hyvor, disqus, git, github, netlify, heroku, apple, microsoft,
                                        provider, service, internet, support,
                                        google, analytics, advertising, search, console, silverlight, score,
                                        j1, nbi, j1-nbinteract, nbinteract, template, integration,
                                        python, jupyter, notebook, textbook, api, app,
                                        binder, binderhub, jupyterhub

categories:                             [ Software, Python ]
tags:                                   [ Binder, Jupyter, Notebooks, Distributed ]

scrollbar:                              false
fab_menu_id:                            open_toc_reload
personalization:                        true

permalink:                              /pages/public/jupyter/examples/distributed/odes-in-python/
regenerate:                             false

resources:                              [ animate, nbinteract, rouge ]
resource_options:
  - attic:
#     opacity:                          0.3
      slides:

        - url:                          /assets/images/modules/attics/yellow-cactus-1920x1280.jpg
          alt:                          Photo by Yellow Cactus on Unsplash
          title:                        ODEs with Python
          tagline:                      interactive evaluation
          badge:
            type:                       unsplash
            author:                     Yellow Cactus
            href:                       https://unsplash.com/@yellowcactus
---

// Page Initializer
// =============================================================================
// Enable the Liquid Preprocessor
:page-liquid:

// Set (local) page attributes here
// -----------------------------------------------------------------------------
// :page--attr:                         <attr-value>
:binder-badges-enabled:                 true
:binder-app-launch--lab:                https://mybinder.org/v2/gh/jekyll-one/j1-binder-repo/main
:binder-app-launch--tree:               https://mybinder.org/v2/gh/jekyll-one/j1-binder-repo/main?urlpath=/tree
:binder-app-launch--notebook:           https://mybinder.org/v2/gh/jekyll-one/j1-binder-repo/main?filepath=notebooks/j1/j1_odes_in_python.ipynb
:odes-in-python:                        https://elc.github.io/posts/ordinary-differential-equations-with-python/

//  Load Liquid procedures
// -----------------------------------------------------------------------------
{% capture load_attributes %}themes/{{site.template.name}}/procedures/global/attributes_loader.proc{%endcapture%}

// Load page attributes
// -----------------------------------------------------------------------------
{% include {{load_attributes}} scope="global" %}


// Page content
// ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
// image:/assets/images/badges/myBinder.png[Binder, link="https://mybinder.org/", {browser-window--new}]
// image:/assets/images/badges/docsBinder.png[Binder, link="https://mybinder.readthedocs.io/en/latest/", {browser-window--new}]
// See: https://towardsdatascience.com/ordinal-differential-equation-ode-in-python-8dc1de21323b

ifeval::[{binder-badges-enabled} == true]
image:/assets/images/badges/notebookBinder.png[Binder, link="{binder-app-launch--notebook}", {browser-window--new}]
image:https://mybinder.org/badge_logo.svg[Binder, link="{binder-app-launch--lab}", {browser-window--new}]
endif::[]


// See: https://elc.github.io/posts/ordinary-differential-equations-with-python/

CAUTION: Each interactive element presented on this page uses *time-consuming*
operations that take a while to finish. The elements are built through a
backend in the cloud. Please be patient to see the results.

An ordinary differential equation (often abbreviated to ODE) is one
Differential equation where only derivatives of the desired function
occur after exactly one variable. Many physical, chemical and biological
processes in nature are described mathematically with such equations.
Examples are the radioactive decay, motion processes of bodies, many types
of Oscillation processes or the growth behavior of animal populations.

In scientific models, ordinary differential equations are often used to
analyze, simulate, or be able to make predictions. Find an example below
describing the dynamics of the population of rabbits and foxes. Check how
the animals depend on each other. Manipulate some parameters to see the
influences on the rabbits and foxes population.

NOTE: All examples are taken from
link:{odes-in-python}[Ordinary Differential Equations (ODE) with Python, {browser-window--new}]

textbook::j1_odes_in_python[]