Home / Math

Differential equations

The equations that describe change in physics, biology and engineering: solution methods, systems and models.

22 free sites · 19 in English.

1. Khan Academy – Differential equations English khanacademy.org

   First and second order, Laplace transform.

   For: Middle & high schoolCollege

2. Paul’s Online Notes – Differential Equations English tutorial.math.lamar.edu

   Complete notes with examples.

   For: College

3. MIT OCW – 18.03 Differential Equations English ocw.mit.edu

   Complete MIT course.

   For: College

4. Learn Differential Equations (Strang & Moler) English ocw.mit.edu

   MIT video series.

   For: College

5. 3Blue1Brown – Differential equations English 3blue1brown.com

   Visual intuition for differential equations.

   For: Middle & high schoolCollegeGeneral public

6. OpenStax – Calculus Volume 2 English openstax.org

   Includes an introductory chapter on differential equations.

   For: College

7. Notes on Diffy Qs (Lebl) English jirka.org

   Open differential equations textbook.

   For: College

8. Elementary Differential Equations (Trench) English digitalcommons.trinity.edu

   Free textbook with many exercises.

   For: College

9. LibreTexts – Differential equations English math.libretexts.org

   Collection of open textbooks.

   For: College

10. Wikibooks – Ordinary Differential Equations English en.wikibooks.org

    Free, open textbook.

    For: Middle & high schoolCollege

11. Professor Leonard (YouTube) English youtube.com

    Full differential equations course.

    For: College

12. Dr. Trefor Bazett (YouTube) English youtube.com

    Differential equations, clearly explained.

    For: College

13. Steve Brunton (YouTube) English youtube.com

    Differential equations, dynamical systems and control.

    For: CollegeAdvanced

14. Mathispower4u (YouTube) English youtube.com

    Short worked examples.

    For: Middle & high schoolCollege

15. Complexity Explorer (Santa Fe Institute) English complexityexplorer.org

    Free courses on dynamical systems and chaos.

    For: CollegeGeneral public

16. Phase plane (pplane) English aeb019.hosted.uark.edu

    Draw direction fields and trajectories.

    For: College

17. SciPy – solve_ivp English docs.scipy.org

    Solve differential equations with Python.

    For: College

18. GeoGebra – Graphing calculator Multilingual geogebra.org

    Slope fields and numerical solutions.

    For: College

19. Desmos Multilingual desmos.com

    Explore solutions and models.

    For: College

20. Maxima Multilingual maxima.sourceforge.io

    Free computer algebra system; solves ODEs symbolically.

    For: College

21. DifferentialEquations.jl – Tutorials English docs.sciml.ai

    Open-source ODE/PDE solvers in Julia.

    For: CollegeAdvanced

22. MIT OCW – 18.303 Linear PDEs English ocw.mit.edu

    MIT course on partial differential equations.

    For: CollegeAdvanced