• 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

    • Status: Free Trial
      Free Trial
      U

      University of California, Davis

      Quantitative Research

      Skills you'll gain: Surveys, Survey Creation, Quantitative Research, Statistical Analysis, Marketing Analytics, Market Research, Statistical Methods, Data Analysis, Marketing, Target Market, Sample Size Determination, Quality Control

      4.4
      Rating, 4.4 out of 5 stars
      ·
      337 reviews

      Intermediate · Course · 1 - 4 Weeks

    • Status: Free Trial
      Free Trial
      U

      University of Colorado Boulder

      Kinetics: Studying Spacecraft Motion

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

      4.8
      Rating, 4.8 out of 5 stars
      ·
      132 reviews

      Advanced · Course · 1 - 4 Weeks

    • K

      Korea Advanced Institute of Science and Technology(KAIST)

      Introduction to Basic Vibrations

      Skills you'll gain: Vibrations, Mechanics, Mechanical Engineering, Engineering Analysis, Control Systems, Engineering Calculations, Differential Equations, Mathematical Modeling, Applied Mathematics

      4.6
      Rating, 4.6 out of 5 stars
      ·
      517 reviews

      Intermediate · Course · 1 - 3 Months

    • Status: Free Trial
      Free Trial
      U

      University of Colorado Boulder

      Kinematics: Describing the Motions of Spacecraft

      Skills you'll gain: Mechanics, Linear Algebra, Numerical Analysis, Engineering Calculations, Engineering Analysis, Differential Equations, Physics, Mathematical Modeling, Applied Mathematics, Verification And Validation, Advanced Mathematics, Estimation

      4.9
      Rating, 4.9 out of 5 stars
      ·
      332 reviews

      Advanced · Course · 1 - 4 Weeks

    • Status: Free Trial
      Free Trial
      J

      Johns Hopkins University

      Calculus through Data & Modeling: Precalculus Review

      Skills you'll gain: Data Modeling, Graphing, Mathematical Modeling, Algebra, Trigonometry, Linear Algebra, Calculus, Mathematical Software, Applied Mathematics, Geometry

      4.8
      Rating, 4.8 out of 5 stars
      ·
      112 reviews

      Beginner · Course · 1 - 3 Months

    • T

      Tecnológico de Monterrey

      2.- El Cálculo - Modelo Cuadrático

      Skills you'll gain: Education Software and Technology, Calculus, Applied Mathematics, Algebra, Mathematical Modeling, Mathematical Software, Graphing, Derivatives

      4.8
      Rating, 4.8 out of 5 stars
      ·
      340 reviews

      Mixed · Course · 1 - 4 Weeks

    • Status: Free Trial
      Free Trial
      J

      Johns Hopkins University

      Statistical Inference

      Skills you'll gain: Statistical Inference, Statistical Hypothesis Testing, Probability & Statistics, Probability, Bayesian Statistics, Statistical Methods, Statistical Modeling, Statistical Analysis, Probability Distribution, Sampling (Statistics), Sample Size Determination, Data Analysis

      4.2
      Rating, 4.2 out of 5 stars
      ·
      4.4K reviews

      Mixed · Course · 1 - 4 Weeks

    • U

      Universidad Nacional Autónoma de México

      Funciones algebraicas y trascendentes

      Skills you'll gain: Algebra, Mathematical Software, Trigonometry, Mathematical Modeling, General Mathematics, Graphing, Geometry, Arithmetic, Advanced Mathematics

      4.5
      Rating, 4.5 out of 5 stars
      ·
      131 reviews

      Beginner · Course · 1 - 3 Months

    • Status: Free Trial
      Free Trial
      C

      Columbia University

      Advanced Topics in Derivative Pricing

      Skills you'll gain: Derivatives, Credit Risk, Financial Market, Capital Markets, Futures Exchange, Equities, Risk Analysis, Risk Management, Market Dynamics, Portfolio Management, Financial Modeling, Mathematical Modeling, Probability Distribution

      4.4
      Rating, 4.4 out of 5 stars
      ·
      30 reviews

      Intermediate · Course · 1 - 3 Months

    • Status: Free
      Free
      U

      University of Pennsylvania

      Calculus: Single Variable Part 1 - Functions

      Skills you'll gain: Calculus, Engineering Calculations, 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

    • J

      Johns Hopkins University

      Design and Interpretation of Clinical Trials

      Skills you'll gain: Clinical Trials, Scientific Methods, Medical Science and Research, Biostatistics, Data Collection, Ethical Standards And Conduct, Regulatory Compliance, Sample Size Determination, Statistical Methods, Statistical Analysis, Statistical Hypothesis Testing

      4.7
      Rating, 4.7 out of 5 stars
      ·
      4.3K reviews

      Mixed · Course · 1 - 3 Months

    • T

      Tecnológico de Monterrey

      1.- El Cálculo - Modelo Lineal

      Skills you'll gain: Arithmetic, Mathematics Education, Mathematical Modeling, Education Software and Technology, Calculus, Applied Mathematics, Mathematical Theory & Analysis, Algebra, Graphing

      4.8
      Rating, 4.8 out of 5 stars
      ·
      1K reviews

      Mixed · Course · 1 - 4 Weeks

    Differential Equation learners also search

    Predictive Modeling
    Statistical Modeling
    Predictive Analytics
    Data Modeling
    Statistical Analysis
    Beginner Predictive Analytics
    Predictive Analytics Projects
    Advanced Predictive Analytics
    1…789…21

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

    • Quantitative Research: University of California, Davis
    • Kinetics: Studying Spacecraft Motion: University of Colorado Boulder
    • Introduction to Basic Vibrations: Korea Advanced Institute of Science and Technology(KAIST)
    • Kinematics: Describing the Motions of Spacecraft: University of Colorado Boulder
    • Calculus through Data & Modeling: Precalculus Review: Johns Hopkins University
    • 2.- El Cálculo - Modelo Cuadrático: Tecnológico de Monterrey
    • Statistical Inference: Johns Hopkins University
    • Funciones algebraicas y trascendentes : Universidad Nacional Autónoma de México
    • Advanced Topics in Derivative Pricing: Columbia University
    • Calculus: Single Variable Part 1 - Functions: 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

    Arts and Humanities
    338 courses
    Business
    1095 courses
    Computer Science
    668 courses
    Data Science
    425 courses
    Information Technology
    145 courses
    Health
    471 courses
    Math and Logic
    70 courses
    Personal Development
    137 courses
    Physical Science and Engineering
    413 courses
    Social Sciences
    401 courses
    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
    • Do Not Sell/Share
    Learn Anywhere
    Download on the App Store
    Get it on Google Play
    Logo of Certified B Corporation
    © 2025 Coursera Inc. All rights reserved.
    • Coursera Facebook
    • Coursera Linkedin
    • Coursera Twitter
    • Coursera YouTube
    • Coursera Instagram
    • Coursera TikTok