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

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AMS 361: Applied Calculus IV (DE & BVP) Homework 4 Assignment Date: Wednesday (02/25/2009) Collection Date: Wednesday (03/11/2009) 8:20AM Grade: Each problem is worth 10 points Problem 4.1 (Prob 33, P. 76, 3E) 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 ൌെ ଷ௫ ାଶ௬ ସ௫௬ . Problem 4.2 (Prob 34, P. 76, 3E) 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 ௫ାଷ௬ ௬ିଷ௫ . Problem 4.3 Consider a prolific breed of rabbits whose birth and death rates, and β δ , are each proportional to the rabbit population () PP t = with > and ܲ ൌܲሺݐൌ0ሻ.
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