Cönsidér än ånimal pópulation, P(t), föllóws the 400) dt a) Make a sketch with representative slope field solution curves for the DE. Be sure to label your axes. b) What type of population model is this? c) What will happen to the population in the long run given that at time t=0, there are 1000 members in the population? d) What differential equations solving strategy can be used to find the solution to the DE? (You do not have to solve. Just name the type.)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider an animal population, P(t), that follows the DE:
dP
0.002P(P – 400)
dt
a) Make a sketch with representative slope field solution curves for the DE. Be sure to label your axes.
b) What type of population model is this?
c) What will happen to the population in the long run given that at time t=0, there are 1000 members in the
population?
d) What differential equations solving strategy can be used to find the solution to the DE? (You do not have to
solve. Just name the type.)
Transcribed Image Text:Consider an animal population, P(t), that follows the DE: dP 0.002P(P – 400) dt a) Make a sketch with representative slope field solution curves for the DE. Be sure to label your axes. b) What type of population model is this? c) What will happen to the population in the long run given that at time t=0, there are 1000 members in the population? d) What differential equations solving strategy can be used to find the solution to the DE? (You do not have to solve. Just name the type.)
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