From b1df93ec39982ce903c62fb9e3f471de424e3ed6 Mon Sep 17 00:00:00 2001 From: choisunmi00 Date: Thu, 26 Dec 2024 18:37:01 +0900 Subject: [PATCH] Update 2024-12-21-System dynamics.md --- _posts/2024-12-21-System dynamics.md | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/_posts/2024-12-21-System dynamics.md b/_posts/2024-12-21-System dynamics.md index dd79a92..3a084f6 100644 --- a/_posts/2024-12-21-System dynamics.md +++ b/_posts/2024-12-21-System dynamics.md @@ -40,7 +40,8 @@ math: true - $$$$ $$\frac{dN}{dt}$$ $$= (B - D)N = (B_0 - D_0 N)N$$ - $$= B_0 \left( 1 - \frac{D_0 N}{B_0} \right) N = r \left( 1 - \frac{N}{C} \right) N\ \Rightarrow N(t) = \frac{C N_0}{N_0 + (C - N_0)e^{-rt}}$$ + $$= B_0 \left( 1 - \frac{D_0 N}{B_0} \right) N = r \left( 1 - \frac{N}{C} \right) N\$$ + $$\Rightarrow N(t) = \frac{C N_0}{N_0 + (C - N_0)e^{-rt}}$$ 1