Welcome to our Ordinary Differential Equations Videos and Guided Notes page! This free resource is designed to help you learn and review the core concepts and solution methods taught in a standard college Differential Equations course. Whether you’re studying ordinary differential equations for the first time or preparing for an exam, our step-by-step video lessons and free downloadable guided notes PDFs will help you build confidence and mastery.

What’s Included in This Free Differential Equations Course?

Video Lessons
Our videos cover the essential topics in ordinary differential equations, following the structure of a typical undergraduate course. Each lesson includes clear explanations and worked-out examples so you can strengthen your understanding of concepts such as:

• Classification of differential equations and basic terminology

• First-order differential equations, including separable, linear, exact, homogeneous, and Bernoulli equations

• Second-order linear differential equations, including reduction of order and equations with constant coefficients

• Nonhomogeneous differential equations solved using the method of undetermined coefficients and variation of parameters

• Modeling with differential equations, including spring–mass systems and electrical circuits

• Series solutions of second-order linear equations, including power series methods and Bessel’s equation

• The Laplace transform and its use in solving initial value problems

• Systems of first-order linear differential equations

• Numerical methods such as Euler methods, Runge–Kutta methods, and the finite difference method

Free Guided Notes for Ordinary Differential Equations
Each video comes with ordinary differential equations guided notes PDFs that you can download and complete as you watch. These notes help you:

• Reinforce understanding by filling in key formulas and steps

• Improve retention through active participation

• Stay organized with a structured resource for quizzes, exams, and future reference

How to Learn Ordinary Differential Equations Effectively

1. Watch the videos for each section to follow along with step-by-step lessons.

2. Download the guided notes PDFs to complete while watching.

3. Work through examples in the notes to practice problem-solving.

4. Review your completed notes to prepare for exams or to strengthen your foundation for future courses.

Start Learning Ordinary Differential Equations Now!

With our free or=dinary differential equations course, video lessons, and guided notes, you’ll develop a strong understanding of the most commonly used solution techniques in a Differential Equations course. These resources are designed to help you succeed in differential equations and in the STEM courses that rely on it.

Get started today with clear lessons and guided notes PDFs that make ordinary differential equations easy to learn.