Separable first order ordinary differential equations

Опубликовано: 06 Июнь 2026
на канале: Professor M does Science
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📚 Separable first order ordinary differential equations are the easiest differential equations of all. In this video, we explain the general strategy to solve separable differential equations, which involves a simple algebraic trick and evaluating some integrals. We also solve a very important example of a separable differential equation, that describing exponential growth, and we go over the solution step by step.

0:00 Introduction
0:43 Separable first order differential equations
4:57 Solution strategy
7:41 Example: exponential growth
14:13 Mathematical justification of solution strategy
18:10 Wrap-up

⏭️ WHAT NEXT?
Differential equation for concentric circles:    • Differential equation for concentric circles  
Homogeneous differential equations: [COMING SOON]
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