Differential Equations Courses and Certifications

Michael Penn

Solving a Differential Equation from the Putnam Exam

Explore a challenging differential equation from the renowned Putnam exam, delving into advanced mathematical concepts and problem-solving techniques.

• YouTube
• 20 minutes
• On-Demand
• Free Video

Michael Penn

Towards the Notion of an Exact Second Order Differential Equation

Explore the mathematical concept of exact second order differential equations through clear explanations and step-by-step derivations.

• YouTube
• 17 minutes
• On-Demand
• Free Video

Michael Penn

From an Integral to a Differential Equation

Discover how to transform integral equations into differential equations, exploring the mathematical techniques and principles behind this conversion process.

• YouTube
• 24 minutes
• On-Demand
• Free Video

Michael Penn

Using Wishful Thinking to Solve a Differential Equation

Discover an unconventional approach to solving differential equations through creative mathematical reasoning and intuitive problem-solving techniques.

• YouTube
• 21 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Partial Differential Equations - Advanced Topics and Applications

1 review

Explore advanced mathematical theories through expert lectures on fluid dynamics, quantum mechanics, inverse problems, and spectral analysis from leading researchers.

• YouTube
• 1 week 5 days 4 hours 34 minutes
• On-Demand
• Free Video

NPTEL;  IIT Kharagpur

Transform Calculus and Its Applications in Differential Equations

Comprehensive exploration of integral transforms, focusing on Laplace and Fourier transforms, their properties, and applications in solving differential equations and boundary value problems.

• YouTube
• 1 day 6 hours
• On-Demand
• Free Video

The Organic Chemistry Tutor

Homogeneous Differential Equations

Learn to solve first-order homogeneous differential equations using substitution and separation of variables, with examples and practice problems for finding general solutions and solving initial value problems.

• YouTube
• 27 minutes
• On-Demand
• Free Video

Professor Leonard

Solving Homogeneous First Order Differential Equations

Learn to solve homogeneous first-order differential equations using separation of variables, with a review of integration techniques for comprehensive understanding.

• YouTube
• 1 hour 55 minutes
• On-Demand
• Free Video

Professor Leonard

Substitutions for Homogeneous First Order Differential Equations

Learn techniques for solving homogeneous first-order differential equations using substitutions to transform them into separable equations, enhancing your problem-solving skills in advanced calculus.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

Professor Leonard

Solving Linear Differential Equations with an Integrating Factor

Learn to solve linear first-order differential equations using integrating factors. Explore examples and techniques for tackling these mathematical challenges effectively.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

Professor Leonard

Introduction to Linear Differential Equations and Integrating Factors

Learn to solve linear first-order differential equations using integrating factors, understanding the theory and practical applications of this essential mathematical technique.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Professor Leonard

Calculus 2 - Solving First Order Differential Equations By Separation of Variables

Learn to solve first-order differential equations using separation of variables, a fundamental technique in calculus. Master this essential skill for advanced mathematical problem-solving.

• YouTube
• 2 hours 49 minutes
• On-Demand
• Free Video

Physics with Elliot

Methods for Differential Equations Physics Students Need to Know

Explore five powerful methods for solving differential equations in physics: ansatz, energy conservation, series expansion, Laplace transform, and Hamiltonian flow, with practical applications to harmonic oscillators.

• YouTube
• 31 minutes
• On-Demand
• Free Video

ICTP Mathematics

Partial Differential Equations

Master partial differential equations through 30 comprehensive lectures by Giovanni Bellettini, covering fundamental theory and advanced techniques in mathematical analysis.

• YouTube
• 1 day 20 hours 55 minutes
• On-Demand
• Free Video

3Blue1Brown

But What Is a Laplace Transform? - Visualizing the Most Important Tool for Differential Equations

Discover the Laplace Transform through stunning visual animations, exploring its definition, complex integration, and applications to differential equations in this mathematical deep dive.

• YouTube
• 35 minutes
• On-Demand
• Free Video