• For Individuals
  • For Businesses
  • For Universities
  • For Governments
Coursera
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.
Learn a new tool or skill in an interactive, hands-on environment.
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
    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, Electrical Engineering, Derivatives

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

    Beginner · Course · 1 - 3 Months

  • Status: Preview
    Preview
    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: New
    New
    Status: Free Trial
    Free Trial
    B

    Birla Institute of Technology & Science, Pilani

    Mathematics for Engineering

    Skills you'll gain: Engineering Calculations, Data Analysis, Trigonometry, Engineering Analysis, Probability & Statistics, Computational Logic, Statistical Analysis, Linear Algebra, Logical Reasoning, Deductive Reasoning, Calculus, Analytics, Bayesian Statistics, Statistical Modeling, Artificial Intelligence and Machine Learning (AI/ML), Differential Equations, Statistical Inference, Theoretical Computer Science, Programming Principles, Descriptive Analytics

    4.6
    Rating, 4.6 out of 5 stars
    ·
    162 reviews

    Beginner · Specialization · 3 - 6 Months

  • Status: Free Trial
    Free Trial
    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, Mathematical Software, Mechanical Engineering, Calculus, Algebra, Applied Mathematics, Mathematical Modeling, Engineering, Simulation and Simulation Software, Advanced Mathematics, Geometry, Computational Thinking, Estimation

    4.8
    Rating, 4.8 out of 5 stars
    ·
    7.6K reviews

    Beginner · Specialization · 3 - 6 Months

  • Status: Free Trial
    Free Trial
    K

    Korea Advanced Institute of Science and Technology(KAIST)

    Electrodynamics

    Skills you'll gain: Electrical Engineering, Basic Electrical Systems, Electronic Components, Electrical Systems, Differential Equations, Physics, Materials science, Engineering Analysis, Finite Element Methods, Integral Calculus, Advanced Mathematics, Scientific Visualization, Engineering Calculations, Applied Mathematics, Semiconductors, Mechanics, Energy and Utilities, Electronics, Mathematical Modeling, Calculus

    4.7
    Rating, 4.7 out of 5 stars
    ·
    956 reviews

    Intermediate · Specialization · 3 - 6 Months

  • U

    University of Colorado Boulder

    Control Systems Analysis: Modeling of Dynamic Systems

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

    Build toward a degree

    4.7
    Rating, 4.7 out of 5 stars
    ·
    93 reviews

    Intermediate · Course · 1 - 3 Months

What brings you to Coursera today?

  • Status: Free Trial
    Free Trial
    U

    University of Colorado Boulder

    Algebra and Differential Calculus for Data Science

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

    4.6
    Rating, 4.6 out of 5 stars
    ·
    257 reviews

    Intermediate · Course · 1 - 3 Months

  • Status: Free Trial
    Free Trial
    J

    Johns Hopkins University

    Differential Calculus through Data and Modeling

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

    4.8
    Rating, 4.8 out of 5 stars
    ·
    374 reviews

    Intermediate · Specialization · 3 - 6 Months

  • Status: Free Trial
    Free Trial
    J

    Johns Hopkins University

    Clinical Trials Operations

    Skills you'll gain: Clinical Data Management, Clinical Trials, Sample Size Determination, Clinical Research Ethics, Clinical Trial Management Systems, Clinical Research, Data Quality, Quality Assurance, Data Entry, Case Report Forms, Institutional Review Board (IRB), Good Clinical Practices (GCP), Data Cleansing, Data Management, Regulatory Compliance, Data Integrity, Statistical Reporting, Informed Consent, Clinical Documentation, Data Collection

    4.7
    Rating, 4.7 out of 5 stars
    ·
    555 reviews

    Beginner · Specialization · 3 - 6 Months

  • Status: New
    New
    Status: Free Trial
    Free Trial
    G

    Google

    Google Data-Driven Decision Making

    Skills you'll gain: Data Visualization, Data Ethics, Data Integrity, Data Analysis, Tableau Software, Stakeholder Communications, Sample Size Determination, Responsible AI, Verbal Communication Skills, Small Data, Decision Making, Stakeholder Analysis, Data Presentation, Sampling (Statistics), Key Performance Indicators (KPIs), Big Data, Data Sharing, Spreadsheet Software, Concision, Solution Design

    4.6
    Rating, 4.6 out of 5 stars
    ·
    11 reviews

    Beginner · Specialization · 3 - 6 Months

  • Status: Free Trial
    Free Trial
    U

    University of Colorado Boulder

    Optical Engineering

    Skills you'll gain: Electrical Engineering, Image Quality, Engineering, Scientific, and Technical Instruments, Display Devices, System Design and Implementation, Engineering Design Process, Engineering Analysis, Image Analysis, Design Software, Numerical Analysis, Simulation and Simulation Software, Systems Design, Mathematical Modeling, Human Factors, Engineering Calculations, Technical Design, Graphical Tools, Physics, Applied Mathematics, Differential Equations

    Build toward a degree

    4.3
    Rating, 4.3 out of 5 stars
    ·
    370 reviews

    Advanced · Specialization · 3 - 6 Months

  • Status: Free Trial
    Free Trial
    B

    Birla Institute of Technology & Science, Pilani

    Basic Engineering Mathematics

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

    4.6
    Rating, 4.6 out of 5 stars
    ·
    158 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…21

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)
  • Mathematics for Engineering: Birla Institute of Technology & Science, Pilani
  • Mathematics for Engineers: The Hong Kong University of Science and Technology
  • Electrodynamics: 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
  • Differential Calculus through Data and Modeling: Johns Hopkins University
  • Clinical Trials Operations: Johns Hopkins University
  • Google Data-Driven Decision Making: Google

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

Skills

  • Artificial Intelligence (AI)
  • Cybersecurity
  • Data Analytics
  • Digital Marketing
  • English Speaking
  • Generative AI (GenAI)
  • Microsoft Excel
  • Microsoft Power BI
  • Project Management
  • Python

Certificates & Programs

  • Google Cybersecurity Certificate
  • Google Data Analytics Certificate
  • Google IT Support Certificate
  • Google Project Management Certificate
  • Google UX Design Certificate
  • IBM Data Analyst Certificate
  • IBM Data Science Certificate
  • Machine Learning Certificate
  • Microsoft Power BI Data Analyst Certificate
  • UI / UX Design Certificate

Industries & Careers

  • Business
  • Computer Science
  • Data Science
  • Education & Teaching
  • Engineering
  • Finance
  • Healthcare
  • Human Resources (HR)
  • Information Technology (IT)
  • Marketing

Career Resources

  • Career Aptitude Test
  • Examples of Strengths and Weaknesses for Job Interviews
  • High-Income Skills to Learn
  • How Does Cryptocurrency Work?
  • How to Highlight Duplicates in Google Sheets
  • How to Learn Artificial Intelligence
  • Popular Cybersecurity Certifications
  • Preparing for the PMP Certification
  • Signs You Will Get the Job After an Interview
  • What Is Artificial Intelligence?

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
  • Share your Coursera learning story

Community

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

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