(d) Find P(t), if its initial size is 50,000. What is lim P(t) as t→∞0?
Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Part d please
Transcribed Image Text:12. Suppose that a population P(t) grows in proportion to the population
present due to the birth/death level (with the coefficient of proportionality
0.01 year ¹) and it also decreases at the constant rate 1000 people per
year due to migration (compare with the previous exercise).
(a) Describe this model as a differential equation for P(t).
(b) Find a constant solution P of this equation.
(c) Find P(t), if its initial size is 200,000. What is lim P(t) as t→ co?
(d) Find P(t), if its initial size is 50,000. What is lim P(t) as t→ co?
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