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Math 3301
Homework Set 3
10 Points
For these problems you MUST set up and solve the appropriate IVP(s) in order to receive any credit for
the problem.
Any decimals must be to at least the 4
th
decimal place.
Modeling, Part II
1.
A population of rabbits in a field grows at a rate proportional to its population.
There are originally 50
rabbits in the field and in the absence of any outside factors the population will triple in 3 months time
(assume 4 weeks/month).
Each week there is a net migration of 7 rabbits into the field and predators
eat 9 fish.
Will the rabbits survive and take over the world?
If not when do they die out?
2.
A 75 kg person jumps out of an air plane that is 800 meters in the air with an initial velocity of 2 m/sec
downward.
Initially the air resistance is given by 10
v
and the person free falls until he reaches a velocity
of 30 m/sec and then opens a parachute that increases the air resistance to 30
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This note was uploaded on 03/13/2009 for the course MATH 2171 taught by Professor Deng during the Spring '08 term at UNC Charlotte.
 Spring '08
 Deng
 Differential Equations, Equations

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