Wolfram U

Introduction to Differential Equations

  • Interactive Course
  • 12 h
  • Intermediate
  • 2 Certifications

Estimated Time: 12 h

Course Level: Intermediate

Requirements: This course requires no prior knowledge of Mathematica or the Wolfram Language. Prerequisites for differential equations include calculus and linear algebra.

Certification Levels: CompletionLevel 1


A comprehensive introduction to fundamental concepts and solution methods for differential equations, including video lessons and interactive notebooks. Follow along with the examples in the Wolfram Cloud and use the material to prepare for courses in natural science, engineering, economics and other fields. The course starts with a discussion of direction fields and methods for solving first-order differential equations, followed by the study of second-order equations and their applications, and then moves on to solving systems of differential equations. Problem sessions, exercises and quizzes are provided for self-paced assessment. Earn a certificate by watching all lesson and problem session videos and completing the quizzes with a passing grade. Level I certification in differential equations is awarded to those who meet the completion requirements and also pass the course final exam.

Featured Products & Technologies: Wolfram Language (available in Mathematica and Wolfram|One)

You'll Learn To

  • Visualize direction fields in the plane
  • Compute series solutions of differential equations
  • Solve linear systems with constant coefficients
  • Find exact solutions of differential equations
  • Use Laplace transforms for solving initial value problems
  • Apply differential equations to real-world problems

Certifications Available

  • Completion Certificate

    Certify your completion of this course by watching course videos and passing the auto-graded quizzes.

    Track My Progress
  • Level 1 Certification

    Pass the auto-graded quizzes and final exam to certify your proficiency in differential equations.

    Track My Progress

About This Interactive Course

It's free and easy to get started with open interactive courses using the Wolfram Cloud—sign in with your Wolfram ID or create one. No plan is required. This interactive course includes video lessons, exercises, problem sessions, quizzes, a final exam and a scratch notebook, all in an easy-to-use interface. From the interactive course, click Track My Progress to chart your certification progress as you go. Recommended best practice for completing this interactive course is to start with Lesson 1 and progress through the video lessons, exercises and problems, taking each quiz in the order it appears in the table of contents.