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the size of the population after t years. P Y00 Ne10,700 P= 1200 1200 - 10,700l400) (10700-400e 400 66 é +400 = 42800g6

the size of the population after t years. P Y00 Ne10,700 P= 1200 1200 - 10,700l400) (10700-400e 400 66 é +400 = 42800g6

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Ton af te Biologists stocked a lake with 400 fish and estimated the maximal population for the fish of that species in the lake to be 10,700. The number of fish tripled in the first year. Assuming that the size of the fish population satisfies the logistic equation, find an expression for the size of the population aftert years. P Y00 NEl0,700 P= 1900 10,700l400) (10700-400e + 400 1200 - 10,300 e +400 = 428009o yo0) 10300 log le ) = lo9, (0.30744) そ0.30744 loge (95 (309) N, Po -M= -1.17946 or P(t)= (400X10,700) (10 700 -y00), logs) ! + 400
Transcribed Image Text:Ton af te Biologists stocked a lake with 400 fish and estimated the maximal population for the fish of that species in the lake to be 10,700. The number of fish tripled in the first year. Assuming that the size of the fish population satisfies the logistic equation, find an expression for the size of the population aftert years. P Y00 NEl0,700 P= 1900 10,700l400) (10700-400e + 400 1200 - 10,300 e +400 = 428009o yo0) 10300 log le ) = lo9, (0.30744) そ0.30744 loge (95 (309) N, Po -M= -1.17946 or P(t)= (400X10,700) (10 700 -y00), logs) ! + 400
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