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Description: Welcome to the first lesson in our series on Differential Equations. This video provides a comprehensive foundation for any student beginning their journey into higher-level mathematics. In this lesson, we move beyond simple algebraic equations to explore how we define, classify, and verify solutions for equations involving derivatives. What we cover in this lesson: Understanding the formal Definition of a DE. Classifying equations by Type (Ordinary vs. Partial). Determining the Order of a differential equation. Identifying the Degree of polynomial differential equations. Verifying if a function is a formal Solution. 📌 Time Stamps: 00:00 – Definition of a Differential Equation 09:53 – Determining the Order 12:19 – Understanding the Degree 17:30 – Solutions of a Differential Equation 📣 Help Me Make These Videos Better! This channel is a work in progress, and I want to make it the best possible resource for you. Since this is my first lesson, I would love your feedback. Please leave a comment and let me know: Is the handwriting on the pen tablet easy to read? Is the audio clear, or do I need to adjust the volume? Were there any parts that were too fast or too slow? What specific topics would you like to see me cover next? Join the Learning Community: If you found this tutorial helpful, please Subscribe for more step-by-step mathematics content. Hit the notification bell so you don't miss Lesson 2! #DifferentialEquations #Mathematics #Calculus #STEM #EngineeringMath #MathTutorials