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Homework-4-f10 - AMS 361 Applied Calculus IV(DE BVP...

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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 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 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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