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

Chapter 4, Problem 7E

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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 \(y_{2}(x)\).

\(9 y^{\prime \prime}-12 y^{\prime}+4 y=0 ; \quad y_{1}=e^{2 x / 3}\)

Text Transcription:

y_{1}(x)

y_{2}(x)

9 y^{\prime \prime}-12 y^{\prime}+4 y=0 ; \quad y_{1}=e^{2 x / 3}

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 \(y_{2}(x)\).

\(9 y^{\prime \prime}-12 y^{\prime}+4 y=0 ; \quad y_{1}=e^{2 x / 3}\)

Text Transcription:

y_{1}(x)

y_{2}(x)

9 y^{\prime \prime}-12 y^{\prime}+4 y=0 ; \quad y_{1}=e^{2 x / 3}

ANSWER:

Step 1 of 4

Given equation is

      Which is of the form

Here .

Given  is a solution. We have to find the second solution .

 

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