AMS 361: Applied Calculus IV (DE & BVP)
Homework 4
Assignment Date:
Thursday (10/07/2010)
Collection Date:
Thursday (10/14/2010)
Grade:
Each problem is worth 10 points
Problem 4.1
The following differential equation is of two different types considered in Chapter
1separable, linear, homogenous, Bernoulli, exact, etc. Hence, derive general solutions for the
given equation in two different ways, and then reconcile your results
Problem 4.2
The following differential equation is of two different types considered in Chapter
1separable, linear, homogenous, Bernoulli, exact, etc. Hence, derive general solutions for the
given equation in two different ways, and then reconcile your results
Problem 4.3
Consider a prolific breed of rabbits whose birth and death rates,
are each
proportional to the rabbit population
with
and
(a) Compute the rabbit
population as a function of time and parameters and initial condition given; (b) Find the time for
doomsday; (c) Suppose that
and that there are 15 rabbits after 12 months, when is the
doomsday? (d) If
, compute the population limit when time approaches infinity?
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 Demography, Mass

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