Question 3 community is known to increase at a rate proportional to the number of people present at time t. The initial population of the community is equal to Po. The population P = P(t) of a a)[. Give the Initial Value Problem that describes the model and solve it. b) . population of the community is 1 million, and after 15 years is 6 millions, find the initial population of the community. | If it is given that after 5 years the

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Question 3
community is known to increase at a rate
proportional to the number of people present at
time t. The initial population of the community
is equal to Po.
The population P = P(t) of a
a) [. Give the Initial Value Problem that
describes the model and solve it.
b) If it is given that after 5 years the
population of the community is 1 million, and
after 15 years is 6 millions, find the initial
population of the community.
Transcribed Image Text:Question 3 community is known to increase at a rate proportional to the number of people present at time t. The initial population of the community is equal to Po. The population P = P(t) of a a) [. Give the Initial Value Problem that describes the model and solve it. b) If it is given that after 5 years the population of the community is 1 million, and after 15 years is 6 millions, find the initial population of the community.
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