Professor M does Science | Homogeneous first order ordinary differential equations @ProfessorMdoesScience | Uploaded February 2024 | Updated October 2024, 1 hour ago.
💻 Book a 1:1 session: docs.google.com/forms/d/e/1FAIpQLScUL187erItvC7GPnNU2pelsueyVFr94nRq2A5Eq2aVRdGiIQ/viewform?pli=1

📚 Homogeneous first order ordinary differential equations consist of a derivative equal to a homogeneous function of degree zero. In this video, we explain the general strategy to solve homogeneous differential equations, which involves a simple substitution that turns them into separable differential equations. We also solve, step by step, an example of a homogeneous equation, and we then plot the resulting solution.

0:00 Introduction
0:24 Homogeneous first order differential equations
2:43 Solution strategy
6:45 Alternative forms for homogeneous equations
9:24 Example
17:15 Wrap-up

⏭️ WHAT NEXT?
Differential equation for tangent circles: [COMING SOON]
Exact differential equations: [COMING SOON]
Inexact differential equations: [COMING SOON]
Linear differential equations: [COMING SOON]

~
Director and writer: BM
Producer and designer: MC
Thumbnail image credits: Vecteezy.com