Ordinary Differential Equations Courses and Certifications

Numerical Solution of Ordinary Differential Equations

Introduces numerical methods for solving ordinary differential equations as an alternative to analytical approaches in mathematical and engineering problems.

• OpenLearning
• Self-Paced
• Paid Course

Numerical Methods For Ordinary Differential Equations

Introduces numerical methods for analyzing mathematical and engineering problems involving ordinary differential equations as an alternative to analytical methods.

• OpenLearning
• Self-Paced
• Paid Course

Mathematical Modeling using Ordinary Differential Equations

Understanding of Ordinary Differential Equations, mastering the concepts and advanced techniques.

• OpenLearning
• 20 hours
• Self-Paced
• Paid Course

Differential Equations

2 ratings

This course focuses on the equations and techniques most useful in science and engineering, Differential equations.

• MIT OpenCourseWare
• 31 hours
• Self-Paced
• Free Video

Differential Equations Part II Series Solutions

14 ratings at Coursera

Solve differential equations with series: Euler equations, power series about ordinary points, the Frobenius theorem, second solutions, Bessel functions, and Legendre polynomials.

• Coursera
• 7 weeks, 2 hours a week
• Self-Paced
• Paid Course

Differential Equations Part III Systems of Equations

14 ratings at Coursera

Solve systems of linear differential equations and analyze the stability of autonomous systems, using matrix methods and the underlying theory alongside practical applications.

• Coursera
• 6 weeks, 2 hours a week
• Self-Paced
• Paid Course

Birla Institute Of Technology And Science–Pilani (BITS–Pilani)

Differential Equations and Applications

Solve first- and higher-order ODEs using separable, exact and undetermined-coefficient methods, Laplace transforms, Fourier series, Sturm-Liouville problems and matrix methods for linear systems.

• Coursera
• 10 weeks, 3 hours a week
• Self-Paced
• Paid Course

University of Huddersfield

Differential Equations & Advanced Applications

Solve first-order and second-order linear ODEs using integrating factors and characteristic equations, apply initial and boundary conditions, and compute partial derivatives of multivariable functions.

• Coursera
• 4 weeks, 2 hours a week
• Self-Paced
• Paid Course

Engineering Math: Differential Equations and Linear Algebra

Learn the linear algebra and ordinary differential equations used across mechanical engineering: first-order and second-order equations, plus numerical approaches to solving systems of equations.

• MIT OpenCourseWare
• Self-Paced
• Free Online Course

Differential Equations

Differential equations are the language of the laws of nature: solve first- and second-order ODEs using Fourier series, Laplace transforms, and matrix methods for linear systems.

• MIT OpenCourseWare
• Self-Paced
• Free Online Course

Differential Equations: 2x2 Systems

Model real-world problems with 2x2 systems of differential equations, solve homogeneous linear systems by matrix methods, and analyze nonlinear autonomous systems graphically via linear approximation.

• MITx Online
• 9 weeks, 5-8 hours/week
• Self-Paced
• Free Online Course

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

An intuitive tour of ordinary differential equations, using pendulums, vector fields, phase spaces, and numerical simulation to reveal how systems change over time.

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

Modelling with Differential Equations

How do populations grow? How do viruses spread? What is the trajectory of a glider? Introduce yourself to the modelling cycle which includes: analyzing a problem, formulating it as a mathematical mode

• edX
• 6 weeks, 4-5 hours a week
• Self-Paced
• Free Online Course (Audit)

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