A family of 25 lions and lioness are released into a game preserve in Africa. Initially, the population of this group of wild animals grows at a rate of approximately 30% per annum (year). The game preserve has a limited food supplies, because of this reason the preserve is believed to support only 40 lions and lioness. The population model of the lions and lioness is given by: dQ = 0.3 (1-)e dt Find the population of lions and lioness, Q for time 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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(a) A family of 25 lions and lioness are released into a game preserve in Africa. Initially,
the population of this group of wild animals grows at a rate of approximately 30% per
annum (year). The game preserve has a limited food supplies, because of this reason
the preserve is believed to support only 40 lions and lioness. The population model of
the lions and lioness is given by:
dQ
0.3
dt
40
Find the population of lions and lioness, Q for time 0 <t<10 by using Euler's
Method with h = 1 by using Initial-Value Problem (IVP).
Transcribed Image Text:(a) A family of 25 lions and lioness are released into a game preserve in Africa. Initially, the population of this group of wild animals grows at a rate of approximately 30% per annum (year). The game preserve has a limited food supplies, because of this reason the preserve is believed to support only 40 lions and lioness. The population model of the lions and lioness is given by: dQ 0.3 dt 40 Find the population of lions and lioness, Q for time 0 <t<10 by using Euler's Method with h = 1 by using Initial-Value Problem (IVP).
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