Solution: In 3134, proceed as in Example 6 to find a solution of the initial-value

Chapter 3, Problem 34

(choose chapter or problem)

In Problems 31-34, proceed as in Example 6 to find a solution of the initial-value problem with the given piecewise-defined forcing function.

\(y^{\prime \prime}+y=f(x)\), y(0)=0, \(y^{\prime}(0)=1\),

where \(f(x)= \begin{cases}0, & x<0 \\ \cos x, & 0 \leq x \leq 4 \pi \\ 0, & x>4 \pi\end{cases}\)

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