Professional Course

Differential Equations: 2x2 Systems

edX, Online
10 weeks
75 USD
Next course start
Start anytime See details
Self-paced Online
10 weeks
75 USD
Next course start
Start anytime See details
Self-paced Online
Visit this course's homepage on the provider's site to learn more or book!

Course description

Differential Equations: 2x2 Systems

Differential equations are the language of the models we use to describe the world around us. Most phenomena require not a single differential equation, but a system of coupled differential equations. In this course, we will develop the mathematical toolset needed to understand 2x2 systems of first order linear and nonlinear differential equations. We will use 2x2 systems and matrices to model:

  • predator-prey populations in an ecosystem,
  • competition for tourism between two states,
  • the temperature profile of a soft boiling egg,
  • automobile suspensions for a smooth ride,
  • pendulums, and
  • RLC circuits that tune to specific frequencies.

Upcoming start dates

1 start date available

Start anytime

  • Self-paced Online
  • Online
  • English

Who should attend?


18.031x Introduction to Differential Equations (Scalar equations)

Training content

Unit 1: Linear 2x2 systems

  • Introduction to systems of differential equations
  • Solving 2x2 homogeneous linear systems of differential equations
  • Complex eigenvalues, phase portraits, and energy
  • The trace-determinant plane and stability

Unit 2: Nonlinear 2x2 systems

  • Linear approximation of autonomous systems
  • Stability of autonomous systems
  • Nonlinear pendulum

Course delivery details

This course is offered through Massachusetts Institute of Technology, a partner institute of EdX.

2-5 hours per week


  • Verified Track -$75
  • Audit Track - Free

Certification / Credits

What you'll learn

  • How to model real world problems by 2x2 systems of differential equations
  • How to use matrix methods to solve homogeneous systems of 2 first order linear differential equations
  • How to use graphical methods to understand the qualitative behavior of linear and nonlinear systems, and how to apply linear approximation to nonlinear (autonomous) 2x2 systems

Contact this provider

Contact course provider

Fill out your details to find out more about Differential Equations: 2x2 Systems.

  Contact the provider

  Get more information

  Register your interest

Country *

reCAPTCHA logo This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.
141 Portland Street
02139 Cambridge Massachusetts


edX For Business helps leading companies upskill their labor forces by making the world’s greatest educational resources available to learners across a wide variety of in-demand fields. edX For Business delivers high-quality corporate eLearning to train and engage your employees...

Read more and show all training delivered by this supplier