Homework-4-s11

# Homework-4-s11 - AMS 361 Applied Calculus IV(DE BVP...

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Homework 4 Assignment Date: Wednesday (02/23/2011) Collection Date: Wednesday (03/16/2011) (3/9/2011: Quiz-1) Grade: Each problem is worth 10 points Problem 4.1: The following differential equation is of two different types considered in Chapter 1-separable, 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 1-separable, linear, homogenous, Bernoulli, exact, etc. Hence, derive general solutions for the given equation in two different ways, and then reconcile your results ! ! + ! cos ! + ( ! ! ! + sin ! ) ! ! = 0 Problem 4.3: Consider a prolific animal whose birth and death rates, ! and ! , are each proportional to its population with ! > ! and ! ! = ! ! = 0 . (a) Compute the population as a
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