Homogeneous first order ordinary differential equations
📚 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]
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Director and writer: BM
Producer and designer: MC
Thumbnail image credits: Vecteezy.com