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In this example problem video, we practice classifying differential equations by identifying their type (ODE or PDE), order, and whether they are linear or nonlinear. Before solving a differential equation, it’s important to correctly classify it, since these characteristics determine which solution methods apply. In this video, we walk through several examples and explain how to recognize each feature step by step. This video is part of my Differential Equations series. What you’ll see in this video: • How to identify ordinary vs. partial differential equations • How to determine the order of a differential equation • How to decide whether a differential equation is linear or nonlinear • Practice with multiple example problems These examples are designed to help you build accuracy and confidence when classifying differential equations before moving on to solution techniques. Differential Equations playlist: • Ordinary Differential Equations | Complete... Guided notes and additional resources: https://www.understandthemath.com ODE Videos • Ordinary Differential Equations Full Cours... • How to Classify a Differential Equation (O... • Slope Fields Explained Visually (Step-by-S... • How to Analyze Autonomous Differential Equ... • How to Solve Separable Differential Equati... • Solving First-Order Linear ODEs with an In... • How to Solve Exact Differential Equations • How to Solve Homogeneous Differential Equa... • How to Solve Bernoulli Differential Equations • Modeling with First-Order Differential Equ... • Euler’s Method Explained (Numerical Approx... https://youtu.be/xhW_XmerR94/ordinary... Connect & Support TikTok: / understandthemath Instagram: / understandthemath Facebook: https://www.facebook.com/profile.php?... Support: https://buymeacoffee.com/understandth... More About Understand The Math Understand The Math offers clear, accessible, and engaging mathematics instruction for students and lifelong learners. I'm Cheryl Hile, the founder of Understand The Math, with a Ph.D. in Engineering Science and Applied Mathematics and over 25 years of university teaching experience. My goal is to provide accurate, high-quality math instruction through step-by-step explanations and carefully worked-out examples. Each video includes free guided notes, linked in the description. These notes help students follow along, highlight key concepts, and practice problems, making review easier and more effective. #DifferentialEquations #ODEs #PDEs #MathExamples #EngineeringMath #AppliedMath #CollegeMath #MathHelp #UnderstandTheMath