In 65–72 solve the given initial-value

Chapter 4, Problem 69E

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QUESTION:

In Problems 65–72 solve the given initial-value problem.

\(y^{\prime \prime}+y=8 \cos 2 x-4 \sin x, \quad y(\pi / 2)=-1, y^{\prime}(\pi / 2)=0\)

Text Transcription:

y^{\prime \prime}+y=8 \cos 2 x-4 \sin x, \quad y(\pi / 2)=-1, y^{\prime}(\pi / 2)=0

Questions & Answers

QUESTION:

In Problems 65–72 solve the given initial-value problem.

\(y^{\prime \prime}+y=8 \cos 2 x-4 \sin x, \quad y(\pi / 2)=-1, y^{\prime}(\pi / 2)=0\)

Text Transcription:

y^{\prime \prime}+y=8 \cos 2 x-4 \sin x, \quad y(\pi / 2)=-1, y^{\prime}(\pi / 2)=0

ANSWER:

Step 1 of 8

In this problem, we are asked to solve the initial value problem.

.

The initial conditions are  and .

 

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