Q1) For the following problem, write a differential equation to describe the physical system, and solve it . The population of a town grows at a rate proportional to the population present at time t. The initial population of 1000 increases by 10% in 5 years. What will be the population in 30 years? (Hint: p(5) = 1000 + (1000/10) = 1100) %3D

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ISBN:9780470458365
Author:Erwin Kreyszig
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Q1) For the following problem, write a differential equation to
describe the physical system, and solve it .
The population of a town grows at a rate proportional to the
population present at time t.
The initial population of 1000 increases by 10% in 5 years. What
will be the population in 30 years?
(Hint: p(5) = 1000 + (1000/10) = 1100)
Transcribed Image Text:Q1) For the following problem, write a differential equation to describe the physical system, and solve it . The population of a town grows at a rate proportional to the population present at time t. The initial population of 1000 increases by 10% in 5 years. What will be the population in 30 years? (Hint: p(5) = 1000 + (1000/10) = 1100)
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