Round all answers in Part e)_to two decimal places. Suppose that the DE dy = y(70 – y) – 600 dt models a logistic equation with harvesting, where y (t) represents a tilapia population in a lake at time t, measured in years.

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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e) Using the fourth order Runge-Kutta Method, with a step-size of h =
1
%3D
to approximate
12)
y(p) if y(0) = 40, yields:
12
ko1
ko2
kоз
ko4
and thus
y(1/12) = (1/12) ~ Y1 =
||
Transcribed Image Text:e) Using the fourth order Runge-Kutta Method, with a step-size of h = 1 %3D to approximate 12) y(p) if y(0) = 40, yields: 12 ko1 ko2 kоз ko4 and thus y(1/12) = (1/12) ~ Y1 = ||
Round all answers in Part e)_to two decimal places.
Suppose that the DE
dy
= y(70 – y) – 600
dt
models a logistic equation with harvesting, where y (t) represents a tilapia population in a
lake at time t, measured in years.
Transcribed Image Text:Round all answers in Part e)_to two decimal places. Suppose that the DE dy = y(70 – y) – 600 dt models a logistic equation with harvesting, where y (t) represents a tilapia population in a lake at time t, measured in years.
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