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Homework-4-f11-solution

Homework-4-f11-solution - AMS 361 Applied Calculus IV(DE...

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1 AMS 361: Applied Calculus IV (DE & BVP) Homework 4 Assignment Date: Wednesday (10/05/2011) Collection Date: Thursday (10/13/2011) 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, homogeneous, Bernoulli, exact, etc. Hence, derive general solutions for the given equation in two different ways, and then reconcile your results: Solution: Method 1: Separation of variables Method 2: Integration factor Find the integration factor, Multiply the integration factor and take an integral,

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2 Problem 4.2 : The following differential equation is of two different types considered in Chapter 1-separable, linear, homogeneous, Bernoulli, exact, etc. Hence, derive general solutions for the given equation in two different ways, and then reconcile your results: Solution: Method 1: Exact DE method: Two parameter functions are listed below: Calculate the difference: .
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