It is more likely that the amount of fishing is governed by the current number of fish present, so instead of a constant number of fish being caught, the rate is proportional to the current number of fish present, with proportionality constant k, as P ' = 0.4 P ( 1 − P 10000 ) − k P 187. Solve this equation, assuming a value of k = 0.05 and an initial condition of 2000 fish.
It is more likely that the amount of fishing is governed by the current number of fish present, so instead of a constant number of fish being caught, the rate is proportional to the current number of fish present, with proportionality constant k, as P ' = 0.4 P ( 1 − P 10000 ) − k P 187. Solve this equation, assuming a value of k = 0.05 and an initial condition of 2000 fish.
It is more likely that the amount of fishing is governed by the current number of fish present, so instead of a constant number of fish being caught, the rate is proportional to the current number of fish present, with proportionality constant k, as
P
'
=
0.4
P
(
1
−
P
10000
)
−
k
P
187. Solve this equation, assuming a value of k = 0.05 and an initial condition of 2000 fish.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.
01 - What Is A Differential Equation in Calculus? Learn to Solve Ordinary Differential Equations.; Author: Math and Science;https://www.youtube.com/watch?v=K80YEHQpx9g;License: Standard YouTube License, CC-BY
Higher Order Differential Equation with constant coefficient (GATE) (Part 1) l GATE 2018; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=ODxP7BbqAjA;License: Standard YouTube License, CC-BY