Update 2024-12-21-System dynamics.md

choisunmi00 · Dec 26, 2024 · b1df93e · b1df93e
1 parent 1e59750
commit b1df93e
Showing 1 changed file with 2 additions and 1 deletion.
diff --git 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\$$ 
+  $$\Rightarrow N(t) = \frac{C N_0}{N_0 + (C - N_0)e^{-rt}}$$
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