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# In 37–41, find three linearly independent solutions (see

ISBN: 9780321747730 43

## Solution for problem 37E Chapter 4.2

Fundamentals of Differential Equations | 8th Edition

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Problem 37E

In Problems 37-41, find three linearly independent solutions (see Problem 35) of the given third-order differential equation and write a general solution as an arbitrary linear combination of these.

$$y^{\prime \prime \prime}+y^{\prime \prime}-6 y^{\prime}+4 y=0$$

Equation Transcription:

Text Transcription:

y’’’+y’’-6y’+4y=0

Step-by-Step Solution:

SOLUTION

Step 1

In this problem, we need to find 3 linearly independent solutions for the given differential equation and we write a general solution.

Step 2 of 3

Step 3 of 3

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In 37–41, find three linearly independent solutions (see