In certain applications, it is desirable to have an expansion about the point at infinity . To obtain such an expansion, we use the change of variables z = 1/x and expand about z = 0. In Problems 41 and 42, show that infinity is a regular singular point of the given differential equation by showing that z = 0 is a regular singular point for the transformed equation in z. Also find at least the first four nonzero terms in the series expansion about infinity of a solution to the original equation in x.

# In certain applications, it is desirable to have an

## Solution for problem 41E Chapter 8.6

Fundamentals of Differential Equations | 8th Edition

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Fundamentals of Differential Equations | 8th Edition

Get Full SolutionsThe full step-by-step solution to problem: 41E from chapter: 8.6 was answered by , our top Calculus solution expert on 07/11/17, 04:37AM. This textbook survival guide was created for the textbook: Fundamentals of Differential Equations , edition: 8. Fundamentals of Differential Equations was written by and is associated to the ISBN: 9780321747730. The answer to “In certain applications, it is desirable to have an expansion about the point at infinity . To obtain such an expansion, we use the change of variables z = 1/x and expand about z = 0. In 41 and 42, show that infinity is a regular singular point of the given differential equation by showing that z = 0 is a regular singular point for the transformed equation in z. Also find at least the first four nonzero terms in the series expansion about infinity of a solution to the original equation in x.” is broken down into a number of easy to follow steps, and 94 words. This full solution covers the following key subjects: equation, Expansion, Infinity, point, regular. This expansive textbook survival guide covers 67 chapters, and 2118 solutions. Since the solution to 41E from 8.6 chapter was answered, more than 241 students have viewed the full step-by-step answer.

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In certain applications, it is desirable to have an