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Solved: In as in Example 4 and find a power series

A First Course in Differential Equations with Modeling Applications | 10th Edition | ISBN: 9781111827052 | Authors: Dennis G. Zill ISBN: 9781111827052 44

Solution for problem 35E Chapter 6.1

A First Course in Differential Equations with Modeling Applications | 10th Edition

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A First Course in Differential Equations with Modeling Applications | 10th Edition | ISBN: 9781111827052 | Authors: Dennis G. Zill

A First Course in Differential Equations with Modeling Applications | 10th Edition

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Problem 35E

In Problem proceed as in Example 4 and find a power series solution  of the given linear first order differential equation.

(reference example 4)

Step-by-Step Solution:

Solution. Our aim is to find the general solution of the given differential equation using power series definition.

Given

 ……………. (1)

Given differential equation is

............................................ (2)

Step 1. References are given below.

Reference 1.

............. ref.(1)

Step 2.

Differentiate w.r.t x then we get

Put this value in the given differential equation 2.  then we get

Put

It is an identical so we must have

         for all k=0,1,2,3,4,5,.......................................... (3)

        

Step 3 of 3

Chapter 6.1, Problem 35E is Solved
Textbook: A First Course in Differential Equations with Modeling Applications
Edition: 10
Author: Dennis G. Zill
ISBN: 9781111827052

The full step-by-step solution to problem: 35E from chapter: 6.1 was answered by , our top Calculus solution expert on 07/17/17, 09:41AM. Since the solution to 35E from 6.1 chapter was answered, more than 232 students have viewed the full step-by-step answer. The answer to “In as in Example 4 and find a power series solution of the given linear first order differential equation. (reference example 4)” is broken down into a number of easy to follow steps, and 22 words. A First Course in Differential Equations with Modeling Applications was written by and is associated to the ISBN: 9781111827052. This full solution covers the following key subjects: Example, order, Differential, Find, given. This expansive textbook survival guide covers 109 chapters, and 4053 solutions. This textbook survival guide was created for the textbook: A First Course in Differential Equations with Modeling Applications, edition: 10.

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Solved: In as in Example 4 and find a power series

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