Solved: In 1 –16 the indicated function y1(x) is a

Chapter 4, Problem 2E

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QUESTION:

In Problems 1–16 the indicated function \(y_{1}(x)\) is a solution of the given differential equation. Use reduction of order or formula (5), as instructed, to find a second solution \(y_{2}(x)\).

\(y^{\prime \prime}+2 y^{\prime}+y=0 ; \quad y_{1}=x e^{-x}\)

Text Transcription:

y_{1}(x)

y_{2}(x)

y^{\prime \prime}+2 y^{\prime}+y=0 ; \quad y_{1}=x e^{-x}

Questions & Answers

QUESTION:

In Problems 1–16 the indicated function \(y_{1}(x)\) is a solution of the given differential equation. Use reduction of order or formula (5), as instructed, to find a second solution \(y_{2}(x)\).

\(y^{\prime \prime}+2 y^{\prime}+y=0 ; \quad y_{1}=x e^{-x}\)

Text Transcription:

y_{1}(x)

y_{2}(x)

y^{\prime \prime}+2 y^{\prime}+y=0 ; \quad y_{1}=x e^{-x}

ANSWER:

Step 1 of 2

In this question we have to find the solution of the equation using reduction of order

   

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