First Order Homogeneous Differential Equations (Part 1) | How to Solve First Order Homogeneous ODE

Welcome to Part 1 of the Homogeneous Differential Equations series!
In this video, you’ll learn how to identify and solve first-order homogeneous ordinary differential equations (ODEs) using clear, step-by-step explanations.

We’ll start from the basics — what homogeneous equations are, how to recognize them, and how to solve them using the substitution method (y = vx or x = vy).

🎓 In this lesson, you’ll learn:

Definition and meaning of a homogeneous differential equation

How to test if an equation is homogeneous

Solving step by step using substitution

Common exam problems and mistakes to avoid

Real-life applications in engineering and physics

This video is ideal for college students, engineers, and science learners in the U.S., Canada, U.K., and Europe who want to master ODEs with clarity and confidence.

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