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Solved: In 37–41, find three linearly independent
Chapter 4, Problem 38E(choose chapter or problem)
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.
\(y^{\prime \prime \prime}-6 y^{\prime \prime}-y^{\prime}+6 y=0\)
Equation Transcription:
Text Transcription:
y’’’-6y’’-y’+6y=0
Questions & Answers
QUESTION:
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.
\(y^{\prime \prime \prime}-6 y^{\prime \prime}-y^{\prime}+6 y=0\)
Equation Transcription:
Text Transcription:
y’’’-6y’’-y’+6y=0
ANSWER:
Solution
Step 1:
We have to find the three linearly independent solutions of the given third-order differential equation and as arbitrary linear combination of this we have to write a general solution.