• For Individuals
  • For Businesses
  • For Universities
  • For Governments
Coursera
  • Online Degrees
  • Careers
  • Log In
  • Join for Free
    Coursera
    • Browse
    • Differential Equation

    Differential Equation Courses Online

    Understand differential equations for modeling dynamic systems. Learn to solve and apply differential equations in various fields.

    Skip to search results

    Filter by

    Subject
    Required
     *

    Language
    Required
     *

    The language used throughout the course, in both instruction and assessments.

    Learning Product
    Required
     *

    Build job-relevant skills in under 2 hours with hands-on tutorials.
    Learn from top instructors with graded assignments, videos, and discussion forums.
    Get in-depth knowledge of a subject by completing a series of courses and projects.

    Level
    Required
     *

    Duration
    Required
     *

    Skills
    Required
     *

    Subtitles
    Required
     *

    Educator
    Required
     *

    Explore the Differential Equation Course Catalog

    • Placeholder
      T

      The Hong Kong University of Science and Technology

      Differential Equations for Engineers

      Skills you'll gain: Differential Equations, Engineering Analysis, Applied Mathematics, Calculus, Integral Calculus, Numerical Analysis, Mathematical Modeling, Advanced Mathematics, Linear Algebra, Vibrations, Algebra, Electrical Engineering, Derivatives

      4.9
      Rating, 4.9 out of 5 stars
      ·
      2.2K reviews

      Beginner · Course · 1 - 3 Months

    • Status: Free
      Free
      K

      Korea Advanced Institute of Science and Technology(KAIST)

      Differential Equations Part I Basic Theory

      Skills you'll gain: Differential Equations, Mathematical Modeling, Applied Mathematics, Calculus, Vibrations, Mechanics

      4.7
      Rating, 4.7 out of 5 stars
      ·
      1.4K reviews

      Beginner · Course · 1 - 3 Months

    • Status: Free
      Free
      T

      The University of Sydney

      Introduction to Calculus

      Skills you'll gain: Calculus, Integral Calculus, Algebra, Advanced Mathematics, Geometry, Trigonometry, Arithmetic, Derivatives, Mathematical Modeling, Graphing

      4.8
      Rating, 4.8 out of 5 stars
      ·
      3.8K reviews

      Intermediate · Course · 1 - 3 Months

    • T

      The University of Sydney

      Introduction to Advanced Calculus

      Skills you'll gain: Advanced Mathematics, Integral Calculus, Calculus, Mathematical Theory & Analysis, Differential Equations, Applied Mathematics, Engineering Calculations, Mathematical Modeling, Linear Algebra, Physics, Derivatives

      4.6
      Rating, 4.6 out of 5 stars
      ·
      9 reviews

      Intermediate · Course · 1 - 4 Weeks

    • T

      The Hong Kong University of Science and Technology

      Mathematics for Engineers

      Skills you'll gain: Differential Equations, Linear Algebra, Matlab, Engineering Calculations, Engineering Analysis, Numerical Analysis, Finite Element Methods, Integral Calculus, Mechanical Engineering, Calculus, Algebra, Applied Mathematics, Mathematical Modeling, Engineering, Civil Engineering, Advanced Mathematics, Geometry, Computational Thinking, Mathematical Theory & Analysis, Simulation and Simulation Software

      4.8
      Rating, 4.8 out of 5 stars
      ·
      7.5K reviews

      Beginner · Specialization · 3 - 6 Months

    • J

      Johns Hopkins University

      Differential Calculus through Data and Modeling

      Skills you'll gain: Calculus, Applied Mathematics, Data Modeling, Estimation, Graphing, Mathematical Modeling, Data Analysis Software, Algebra, Trigonometry, Engineering Calculations, Linear Algebra, Operations Research, Data Analysis, Advanced Mathematics, Analysis, Derivatives, Mathematical Theory & Analysis, Geometry

      4.8
      Rating, 4.8 out of 5 stars
      ·
      343 reviews

      Intermediate · Specialization · 3 - 6 Months

    • Placeholder
      K

      Korea Advanced Institute of Science and Technology(KAIST)

      Differential Equations Part II Series Solutions

      Skills you'll gain: Differential Equations, Applied Mathematics, Advanced Mathematics, Calculus, Linear Algebra, Algebra

      4.5
      Rating, 4.5 out of 5 stars
      ·
      11 reviews

      Beginner · Course · 1 - 3 Months

    • Placeholder
      U

      University of Colorado Boulder

      Control Systems Analysis: Modeling of Dynamic Systems

      Skills you'll gain: Process Control, Mathematical Modeling, Engineering Analysis, Differential Equations, Engineering Calculations, Systems Analysis, Mechanical Engineering, Mechanics, Applied Mathematics, Performance Testing, Electrical Engineering, Basic Electrical Systems

      Build toward a degree

      4.6
      Rating, 4.6 out of 5 stars
      ·
      74 reviews

      Intermediate · Course · 1 - 3 Months

    • Placeholder
      U

      University of Colorado Boulder

      Algebra and Differential Calculus for Data Science

      Skills you'll gain: Algebra, Calculus, Graphing, Applied Mathematics, Data Science, Derivatives, Mathematical Theory & Analysis

      4.6
      Rating, 4.6 out of 5 stars
      ·
      240 reviews

      Intermediate · Course · 1 - 3 Months

    • Placeholder
      Status: Free
      Free
      U

      University of Pennsylvania

      Calculus: Single Variable Part 2 - Differentiation

      Skills you'll gain: Calculus, Applied Mathematics, Derivatives, Engineering Calculations, Advanced Mathematics, Estimation

      4.8
      Rating, 4.8 out of 5 stars
      ·
      1.2K reviews

      Mixed · Course · 1 - 4 Weeks

    • Placeholder
      K

      Korea Advanced Institute of Science and Technology(KAIST)

      Differential Equations Part III Systems of Equations

      Skills you'll gain: Differential Equations, Applied Mathematics, Advanced Mathematics, Linear Algebra, Calculus, Engineering Analysis, Mathematical Modeling

      4.1
      Rating, 4.1 out of 5 stars
      ·
      11 reviews

      Intermediate · Course · 1 - 3 Months

    • Placeholder
      U

      University of Colorado Boulder

      Power Electronics

      Skills you'll gain: Power Electronics, Semiconductors, Electronic Systems, Electrical Engineering, USB, Electronic Components, Process Control, Simulation and Simulation Software, Basic Electrical Systems, Engineering Analysis, Mathematical Modeling, Systems Design, Design Specifications, Engineering Design Process, Plot (Graphics), Engineering Calculations, Graphical Tools, Differential Equations, Applied Mathematics

      Build toward a degree

      4.7
      Rating, 4.7 out of 5 stars
      ·
      4.2K reviews

      Intermediate · Specialization · 3 - 6 Months

    Differential Equation learners also search

    Predictive Modeling
    Statistical Modeling
    Predictive Analytics
    Data Modeling
    Statistical Analysis
    Beginner Predictive Analytics
    Predictive Analytics Projects
    Advanced Predictive Analytics
    1234…19

    In summary, here are 10 of our most popular differential equation courses

    • Differential Equations for Engineers: The Hong Kong University of Science and Technology
    • Differential Equations Part I Basic Theory: Korea Advanced Institute of Science and Technology(KAIST)
    • Introduction to Calculus: The University of Sydney
    • Introduction to Advanced Calculus: The University of Sydney
    • Mathematics for Engineers: The Hong Kong University of Science and Technology
    • Differential Calculus through Data and Modeling: Johns Hopkins University
    • Differential Equations Part II Series Solutions: Korea Advanced Institute of Science and Technology(KAIST)
    • Control Systems Analysis: Modeling of Dynamic Systems: University of Colorado Boulder
    • Algebra and Differential Calculus for Data Science: University of Colorado Boulder
    • Calculus: Single Variable Part 2 - Differentiation: University of Pennsylvania

    Frequently Asked Questions about Differential Equation

    A differential equation is a mathematical formula common in science and engineering that seeks to find the rate of change in one variable to other variables. Differential equations use derivatives, which are variables that represent change of a functional dependence of one variable upon another. In many differential equations, you will see the derivatives expressed in x and y terms. Differential equations are used in areas of quantitative study because they help scientists and engineers find solutions that may be used to predict the behavior of an original system. These solutions, called functions, show rates of change in matters that can be directly observed and measured.‎

    It is valuable to learn differential equations as these are found and used in traditional sciences like physics, engineering, chemistry, and biology and numerical sciences like math, scientific computing, machine learning, and artificial intelligence. Differential equations are used in these areas to find rates of change in problems like circuit design, heat transfer, fluid mechanics, seismic waves, or in finance for options trading. Learning about differential equations can help you if you choose to study and eventually work in these fields.‎

    Some typical career opportunities for those who learn differential equations are in science and engineering jobs like control software engineer, computational fluid dynamics analyst, data scientist, meteorology scientist, and similar weather science roles. You may also find career opportunities in research science, electromagnetics, physics, and electrical engineering positions. Jobs in options trading are also possible if you know differential equations, as traders often use these formulas in software programs to assess a current value or volatility of a particular stock price.‎

    Taking online courses in differential equations might help you grasp the fundamentals of first-order differential equations, second-order linear differential equations, and mathematical modeling problems. When you study the key aspects of differential equations in online courses, you may also learn the basics of related scientific and mathematical disciplines of discrete mathematics, linear algebra, and statistical probability.‎

    Online Differential Equation courses offer a convenient and flexible way to enhance your knowledge or learn new Differential Equation skills. Choose from a wide range of Differential Equation courses offered by top universities and industry leaders tailored to various skill levels.‎

    When looking to enhance your workforce's skills in Differential Equation, it's crucial to select a course that aligns with their current abilities and learning objectives. Our Skills Dashboard is an invaluable tool for identifying skill gaps and choosing the most appropriate course for effective upskilling. For a comprehensive understanding of how our courses can benefit your employees, explore the enterprise solutions we offer. Discover more about our tailored programs at Coursera for Business here.‎

    This FAQ content has been made available for informational purposes only. Learners are advised to conduct additional research to ensure that courses and other credentials pursued meet their personal, professional, and financial goals.

    Other topics to explore

    Placeholder
    Arts and Humanities
    338 courses
    Placeholder
    Business
    1095 courses
    Placeholder
    Computer Science
    668 courses
    Placeholder
    Data Science
    425 courses
    Placeholder
    Information Technology
    145 courses
    Placeholder
    Health
    471 courses
    Placeholder
    Math and Logic
    70 courses
    Placeholder
    Personal Development
    137 courses
    Placeholder
    Physical Science and Engineering
    413 courses
    Placeholder
    Social Sciences
    401 courses
    Placeholder
    Language Learning
    150 courses

    Coursera Footer

    Technical Skills

    • ChatGPT
    • Coding
    • Computer Science
    • Cybersecurity
    • DevOps
    • Ethical Hacking
    • Generative AI
    • Java Programming
    • Python
    • Web Development

    Analytical Skills

    • Artificial Intelligence
    • Big Data
    • Business Analysis
    • Data Analytics
    • Data Science
    • Financial Modeling
    • Machine Learning
    • Microsoft Excel
    • Microsoft Power BI
    • SQL

    Business Skills

    • Accounting
    • Digital Marketing
    • E-commerce
    • Finance
    • Google
    • Graphic Design
    • IBM
    • Marketing
    • Project Management
    • Social Media Marketing

    Career Resources

    • Essential IT Certifications
    • High-Income Skills to Learn
    • How to Get a PMP Certification
    • How to Learn Artificial Intelligence
    • Popular Cybersecurity Certifications
    • Popular Data Analytics Certifications
    • What Does a Data Analyst Do?
    • Career Development Resources
    • Career Aptitude Test
    • Share your Coursera Learning Story

    Coursera

    • About
    • What We Offer
    • Leadership
    • Careers
    • Catalog
    • Coursera Plus
    • Professional Certificates
    • MasterTrack® Certificates
    • Degrees
    • For Enterprise
    • For Government
    • For Campus
    • Become a Partner
    • Social Impact
    • Free Courses
    • ECTS Credit Recommendations

    Community

    • Learners
    • Partners
    • Beta Testers
    • Blog
    • The Coursera Podcast
    • Tech Blog
    • Teaching Center

    More

    • Press
    • Investors
    • Terms
    • Privacy
    • Help
    • Accessibility
    • Contact
    • Articles
    • Directory
    • Affiliates
    • Modern Slavery Statement
    • Manage Cookie Preferences
    Learn Anywhere
    Placeholder
    Placeholder
    Placeholder
    © 2025 Coursera Inc. All rights reserved.
    • Placeholder
    • Placeholder
    • Placeholder
    • Placeholder
    • Placeholder
    • Placeholder