Answer: In 37–41, find three linearly independent

Chapter 4, Problem 40E

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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.

\(y^{\prime \prime \prime}-7 y^{\prime}+15 y=0\)

Equation Transcription:

Text Transcription:

y’’’-7y’+15y=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.

\(y^{\prime \prime \prime}-7 y^{\prime}+15 y=0\)

Equation Transcription:

Text Transcription:

y’’’-7y’+15y=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.

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