Differential Equations Courses and Certifications

Introduction to differential equations

3 ratings at OpenLearn

Differential equations are any equations that include derivatives and arise in many situations. This free course, Introduction to differential equations, considers three types of first-order ...

• OpenLearn
• 18 hours
• Self-Paced
• Free Certificate

3Blue1Brown

Differential Equations, a Tourist's Guide

Explore ordinary differential equations through intuitive visualizations, covering concepts like vector fields, phase spaces, and real-world applications in physics and social dynamics.

• YouTube
• 27 minutes
• Self-Paced
• Free Video

3Blue1Brown

Differential Equations - A Tourist's Guide

Discover the fundamentals of differential equations through visual explanations, covering partial differential equations, heat equations, Fourier series, and Laplace transforms.

• YouTube
• 3 hours 17 minutes
• Self-Paced
• Free Video

Krista King

Differential Equations - Complete Course with Applications and Methods

Master differential equations through comprehensive coverage of separable equations, Euler's method, Laplace transforms, second-order systems, and real-world applications like population models.

• YouTube
• 7 hours 53 minutes
• Self-Paced
• Free Video

Steve Brunton

Engineering Math - Differential Equations and Dynamical Systems

Master differential equations and dynamical systems for real-world modeling in fluid dynamics, weather systems, biomechanics, and control theory with comprehensive mathematical foundations.

• YouTube
• 22 hours 3 minutes
• Self-Paced
• Free Video

Ordinary Differential Equations

3 ratings

This tutorial contains excerpts from Elizabeth Bradley's Nonlinear Dynamics course.

• Complexity Explorer
• 1 hour
• Self-Paced
• Free Certificate

Second-order differential equations

3 ratings at OpenLearn

This free course is concerned with second-order differential equations. Section 1 introduces some basic principles and terminology. Sections 2 and 3 give methods for finding the general solutions ...

• OpenLearn
• 16 hours
• Self-Paced
• Free Certificate

Differential Equations in Action

4 ratings at Udacity

Write Python code to find numerical solutions to systems of differential equations. The models you create will fight wildfires, bring spaceships back to earth, and more!

• Udacity
• 17 hours
• Self-Paced
• Free Online Course

IIT Madras;  NPTEL

Differential equations for engineers

1 rating

Comprehensive exploration of differential equations and their applications in engineering, covering ODEs, PDEs, and solution methods for various physical phenomena.

• Swayam
• 12 weeks
• Available until Oct 9, 2026
• Free Online Course

Mastering Differential Equations: The Visual Method

52 ratings at The Great Courses Plus

Embark on an amazing mathematical journey in 24 intellectually stimulating and visually engaging half hour lectures.

• The Great Courses Plus
• 12 hours 33 minutes
• Self-Paced
• Free Trial Available

Partial Differential Equations

Comprehensive introduction to partial differential equations, covering linear and nonlinear PDEs, solution methods, and applications in science and engineering. Includes self-assessment problems and discussion forum.

• Swayam
• 15 weeks
• Self-Paced
• Free Online Course

IISc Bangalore;  NPTEL

First Course on Partial Differential Equations - II

Explore advanced topics in partial differential equations, including Hamilton-Jacobi equations, conservation laws, and multi-dimensional heat and wave equations. Ideal for mathematics and engineering students.

• Swayam
• 8 weeks
• Available until Sep 11, 2026
• Free Online Course

IMSC;  NPTEL

Sobolev Spaces and Partial Differential Equations

Explore distributions, Sobolev spaces, and their applications in PDEs. Develop skills in functional analysis for solving elliptic boundary value problems and evolution equations.

• Swayam
• 12 weeks
• Available until Oct 9, 2026
• Free Online Course

MathWorks

Solving Ordinary Differential Equations with MATLAB

Use MATLAB ODE solvers to numerically solve ordinary differential equations.

• MATLAB Academy
• 4 hours
• Self-Paced
• Paid Course

Differential Equations, Interactive Online Video Course: Wolfram U

Comprehensive introduction to differential equations, covering first- and second-order equations, systems, and applications. Includes interactive lessons, problem sessions, and self-assessment tools for natural sciences and engineering.

• Wolfram U
• 12 hours
• Self-Paced
• Free Certificate