Homework-4 - AMS 361: Applied Calculus IV (DE & BVP)...

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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 1-separable, 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 ାଵ . Problem 4.2 (Prob 36, P. 78, 4E) 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 ௗ௬ ௗ௫ ି௬ ௧௔௡௫ . 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 ߚ൐ߙ and
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