Solved: In 25–28, solve the given third-order initial

Chapter 7, Problem 26E

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QUESTION:

In Problems 25–28, solve the given third-order initial value problem for using the method of Laplace transforms.

\(y^{\prime \prime \prime}+4 y^{\prime \prime}+y^{\prime}-6 y=12\);

\(y(0)=1, y^{\prime}(0)=4, y^{\prime \prime}(0)=2\)

Equation transcription:

Text transcription:

y^{prime prime prime}+4 y^{prime prime}+y^{prime}-6 y=12

y(0)=1, y^{prime}(0)=4, y^{prime prime}(0)=2

Questions & Answers

QUESTION:

In Problems 25–28, solve the given third-order initial value problem for using the method of Laplace transforms.

\(y^{\prime \prime \prime}+4 y^{\prime \prime}+y^{\prime}-6 y=12\);

\(y(0)=1, y^{\prime}(0)=4, y^{\prime \prime}(0)=2\)

Equation transcription:

Text transcription:

y^{prime prime prime}+4 y^{prime prime}+y^{prime}-6 y=12

y(0)=1, y^{prime}(0)=4, y^{prime prime}(0)=2

ANSWER:

Solution:

Step 1:

In this question, we have to solve the given third-order initial value problem for using the method of Laplace transforms.

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