Ordinary Differential Equations Courses and Certifications

Modelling with Differential Equations

How do populations grow? How do viruses spread? What is the trajectory of a glider? Introduce yourself to the modelling cycle which includes: analyzing a problem, formulating it as a mathematical mode

• edX
• 6 weeks, 4-5 hours a week
• Self-Paced
• Free Online Course (Audit)

Mastering Differential Equations: The Visual Method

52 ratings at The Great Courses Plus

Embark on an amazing mathematical journey in 24 intellectually stimulating and visually engaging half hour lectures.

• The Great Courses Plus
• 12 hours 33 minutes
• Self-Paced
• Free Trial Available

Physics with Elliot

Methods for Differential Equations Physics Students Need to Know

Five increasingly powerful methods for solving differential equations, illustrated through the simple harmonic oscillator.

• YouTube
• 31 minutes
• Self-Paced
• Free Video

Professor Leonard

Differential Equations with Velocity and Acceleration

Apply differential equations to velocity, acceleration, deceleration, and initial-value problems.

• YouTube
• 44 minutes
• Self-Paced
• Free Video

Professor Leonard

Existence and Uniqueness of Solutions - Differential Equations

Learn how continuity near an initial point determines whether a differential equation has a solution and whether that solution is unique.

• YouTube
• 46 minutes
• Self-Paced
• Free Video

The Organic Chemistry Tutor

Slope Fields - Calculus

Learn to draw slope fields from differential equations, sketch solution curves, match equations to fields, and verify solutions using separation of variables.

• YouTube
• 21 minutes
• Self-Paced
• Free Video

The Organic Chemistry Tutor

Homogeneous Differential Equations

Learn to solve first-order homogeneous differential equations using the substitution y = vx, separation of variables, and initial-value examples.

• YouTube
• 27 minutes
• Self-Paced
• Free Video

Professor Leonard

Equilibrium Solutions and Stability of Differential Equations

Explores equilibrium solutions and how critical points determine increasing and decreasing population behavior in differential equations.

• YouTube
• 44 minutes
• Self-Paced
• Free Video

Professor Leonard

What Are Exact Differential Equations

Explains the origin, use, and solution methods for exact differential equations.

• YouTube
• 55 minutes
• Self-Paced
• Free Video

Professor Leonard

How to Solve Bernoulli Differential Equations

Explains how substitutions solve Bernoulli differential equations, with several worked examples.

• YouTube
• 1 hour 44 minutes
• Self-Paced
• Free Video

Professor Leonard

Solving Homogeneous First Order Differential Equations

Practice solving homogeneous first-order differential equations by separation of variables, with a review of integration techniques.

• YouTube
• 1 hour 55 minutes
• Self-Paced
• Free Video

Professor Leonard

Substitutions for Homogeneous First Order Differential Equations

Learn to transform homogeneous first-order differential equations into separable equations using substitution.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

Professor Leonard

Separable Differential Equations

Learn to solve separable differential equations by separation of variables through numerous worked examples.

• YouTube
• 1 hour 33 minutes
• Self-Paced
• Free Video

Professor Leonard

Solving Basic Differential Equations with Integration

Learn to solve basic differential equations by applying integration techniques.

• YouTube
• 39 minutes
• Self-Paced
• Free Video

Professor Leonard

Introduction to Initial Value Problems - Differential Equations

Explore how initial conditions turn general solutions of differential equations into particular solutions and clarify what initial value problems represent.

• YouTube
• 29 minutes
• Self-Paced
• Free Video