Solution: In 21–27, solve the given initial value problem.

Fundamentals of Differential Equations | 8th Edition | ISBN: 9780321747730 | Authors: R. Kent Nagle, Edward B. Saff, Arthur David Snider

ISBN: 9780321747730 43

Solution for problem 26E Chapter 4.3

Fundamentals of Differential Equations | 8th Edition

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Fundamentals of Differential Equations | 8th Edition

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Problem 26E

In Problems 21-27, solve the given initial value problem.

$y^{\prime \prime}-2 y^{\prime}+y=0$ ; $y(0)=1$ , $y^{\prime}(0)=-2$

Equation Transcription:

$y''-2y'+y=0$

$y(0)=1$

$y'(0)=-2$

Text Transcription:

y’’-2y’+y=0

y(0)=1

y’(0)=-2

Step-by-Step Solution:

Solution :

Step 1 :

In this problem we have to find the solution of initial value problem.

Given initial value problem is ${y}^{''}-2{y}^{'}+y=0$ and $y(0)=1\$ and ${y}^{'}(0)=-2$

In this equation auxiliary equation become ${r}^{2}-2r+1=0$

Step 2 of 4

Chapter 4.3, Problem 26E is Solved

Step 3 of 4

Textbook: Fundamentals of Differential Equations

Edition: 8

Author: R. Kent Nagle, Edward B. Saff, Arthur David Snider

ISBN: 9780321747730

This full solution covers the following key subjects: given, initial. This expansive textbook survival guide covers 67 chapters, and 2118 solutions. Fundamentals of Differential Equations was written by and is associated to the ISBN: 9780321747730. The full step-by-step solution to problem: 26E from chapter: 4.3 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. Since the solution to 26E from 4.3 chapter was answered, more than 262 students have viewed the full step-by-step answer. The answer to “?In 21-27, solve the given initial value problem.$y^{\prime \prime}-2 y^{\prime}+y=0$ ; $y(0)=1$ , $y^{\prime}(0)=-2$Equation Transcription:Text Transcription:y’’-2y’+y=0y(0)=1y’(0)=-2” is broken down into a number of easy to follow steps, and 16 words.