• 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.

    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

    • Status: Free
      Free
      U

      University of Pennsylvania

      Calculus: Single Variable Part 1 - Functions

      Skills you'll gain: Calculus, Integral Calculus, Mathematical Theory & Analysis, Algebra, Advanced Mathematics, Applied Mathematics, Derivatives

      4.7
      Rating, 4.7 out of 5 stars
      ·
      2.3K reviews

      Mixed · Course · 1 - 4 Weeks

    • Status: Free
      Free
      K

      Koç University

      Çok değişkenli Fonksiyon I: Kavramlar / Multivariable Calculus I: Concepts

      Skills you'll gain: Geometry, Integral Calculus, Calculus, Applied Mathematics, Linear Algebra, Advanced Mathematics, Derivatives, Algebra, Trigonometry, Mathematical Theory & Analysis, Visualization (Computer Graphics)

      4.6
      Rating, 4.6 out of 5 stars
      ·
      28 reviews

      Mixed · Course · 1 - 3 Months

    • U

      University of Colorado Boulder

      Kinetics: Studying Spacecraft Motion

      Skills you'll gain: Vibrations, Mechanics, Torque (Physics), Engineering Calculations, Engineering Analysis, Differential Equations, Mechanical Engineering, Structural Analysis, Mathematical Modeling, Simulation and Simulation Software, Applied Mathematics, Advanced Mathematics, Linear Algebra, Physics, Calculus

      4.8
      Rating, 4.8 out of 5 stars
      ·
      132 reviews

      Advanced · Course · 1 - 4 Weeks

    • Status: Free
      Free
      U

      University of Pennsylvania

      Single Variable Calculus

      Skills you'll gain: Calculus, Numerical Analysis, Applied Mathematics, Engineering Calculations, Integral Calculus, Engineering Analysis, Differential Equations, Mathematical Theory & Analysis, Advanced Mathematics, Estimation, Derivatives

      4.6
      Rating, 4.6 out of 5 stars
      ·
      321 reviews

      Mixed · Course · 1 - 3 Months

    • Status: Free
      Free
      K

      Koç University

      Çok değişkenli Fonksiyon II: Uygulamalar / Multivariable Calculus II: Applications

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

      4.4
      Rating, 4.4 out of 5 stars
      ·
      14 reviews

      Mixed · Course · 1 - 3 Months

    • Status: Free
      Free
      U

      University of Pennsylvania

      Calculus: Single Variable Part 4 - Applications

      Skills you'll gain: Calculus, Integral Calculus, Applied Mathematics, Probability & Statistics, Geometry, Probability, Engineering Calculations, Advanced Mathematics, Torque (Physics), Statistics, Mechanics, Mathematical Modeling, Physics

      4.9
      Rating, 4.9 out of 5 stars
      ·
      273 reviews

      Mixed · Course · 1 - 3 Months

    • Placeholder
      T

      The Hong Kong University of Science and Technology

      Mathematics for Engineers: The Capstone Course

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

      4.9
      Rating, 4.9 out of 5 stars
      ·
      29 reviews

      Intermediate · Course · 1 - 4 Weeks

    • Placeholder
      I

      Imperial College London

      Infectious Disease Modelling

      Skills you'll gain: Epidemiology, Mathematical Modeling, Statistical Modeling, Simulations, Infectious Diseases, R Programming, Network Model, Differential Equations, Statistical Methods, Applied Mathematics, Quantitative Research, Probability

      4.8
      Rating, 4.8 out of 5 stars
      ·
      293 reviews

      Intermediate · Specialization · 1 - 3 Months

    • Placeholder
      J

      Johns Hopkins University

      Calculus through Data & Modeling: Differentiation Rules

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

      4.8
      Rating, 4.8 out of 5 stars
      ·
      84 reviews

      Intermediate · Course · 1 - 3 Months

    • Placeholder
      J

      Johns Hopkins University

      Linear Algebra: Linear Systems and Matrix Equations

      Skills you'll gain: Linear Algebra, Algebra, Mathematical Modeling, Engineering Analysis, Applied Mathematics, Mathematical Theory & Analysis, Geometry

      4.7
      Rating, 4.7 out of 5 stars
      ·
      124 reviews

      Beginner · Course · 1 - 4 Weeks

    • Placeholder
      Status: Free
      Free
      G

      Georgia Institute of Technology

      Introduction to Engineering Mechanics

      Skills you'll gain: Engineering Analysis, Mechanics, Torque (Physics), Engineering Calculations, Mechanical Engineering, Engineering, Civil Engineering, Structural Analysis, Physics

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

      Mixed · Course · 1 - 3 Months

    • Placeholder
      I

      Imperial College London

      Mathematics for Machine Learning: Linear Algebra

      Skills you'll gain: Linear Algebra, NumPy, Applied Mathematics, Data Transformation, Data Science, Machine Learning Methods, Algorithms, Data Manipulation, Python Programming

      4.7
      Rating, 4.7 out of 5 stars
      ·
      12K reviews

      Beginner · Course · 1 - 3 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…20

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

    • Calculus: Single Variable Part 1 - Functions: University of Pennsylvania
    • Çok değişkenli Fonksiyon I: Kavramlar / Multivariable Calculus I: Concepts: Koç University
    • Kinetics: Studying Spacecraft Motion: University of Colorado Boulder
    • Single Variable Calculus: University of Pennsylvania
    • Çok değişkenli Fonksiyon II: Uygulamalar / Multivariable Calculus II: Applications: Koç University
    • Calculus: Single Variable Part 4 - Applications: University of Pennsylvania
    • Mathematics for Engineers: The Capstone Course: The Hong Kong University of Science and Technology
    • Infectious Disease Modelling: Imperial College London
    • Calculus through Data & Modeling: Differentiation Rules: Johns Hopkins University
    • Linear Algebra: Linear Systems and Matrix Equations: Johns Hopkins University

    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 Education Articles
    • Career Development Resources
    • Career Aptitude Test

    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