Solution: In 11 –14 verify that the indicated function is an

Chapter 1, Problem 13E

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QUESTION:

In Problems 11–14 verify that the indicated function is an explicit solution of the given differential equation. Assume an appropriate interval I of definition for each solution

\(y^{\prime \prime}-6 y^{\prime}+13 y=0\) ;     \(y=e^{3 x} \cos 2 x\)

Text Transcription:

y^prime prime - 6y^prime + 13y = 0

y = e^3x cos 2x

Questions & Answers

QUESTION:

In Problems 11–14 verify that the indicated function is an explicit solution of the given differential equation. Assume an appropriate interval I of definition for each solution

\(y^{\prime \prime}-6 y^{\prime}+13 y=0\) ;     \(y=e^{3 x} \cos 2 x\)

Text Transcription:

y^prime prime - 6y^prime + 13y = 0

y = e^3x cos 2x

ANSWER:

Step 1 of 5

In this problem, we have to verify the function is an explicit solution of the given differential equation.

 

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