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Homework 4
Assignment Date:
Wednesday (10/7/2009)
Collection Date:
Wednesday (10/14/2009)
8:20AM
Grade:
Each problem is worth 10 points
Problem 4.1 (Prob 35, P. 78, 4E)
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
ௗ௬
ௗ௫
ൌെ
ଶ௫௬ାଶ௫
௫
మ
ାଵ
.
Problem 4.2 (Prob 36, P. 78, 4E)
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
ௗ௬
ௗ௫
ൌ
√
௬
ି௬
௧௫
.
Problem 4.3
Consider a prolific breed of rabbits whose birth and death rates,
ߚ and ߙ,
are each
proportional to the rabbit population
with
ߚߙ
and
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 Fall '08
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