Solution Found!
Solved: In as in Example 6 to find a solution of the
Chapter 4, Problem 33E(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
\(y^{\prime \prime}+y=f(x), y(0)=1, y^{\prime}(0)=-1\),
where \(f(x)=\left\{\begin{array}{ll}0, & x<0 \\10, & 0 \leq x \leq 3 \pi \\0, & x>3 \pi \end{array}\right.\)
Text Transcription:
y^{\prime \prime}+y=f(x), y(0)=1, y^{\prime}(0)=-1
f(x)=\left\{\begin{array}{ll}
0, & x<0 \\
10, & 0 \leq x \leq 3 \pi \\
0, & x>3 \pi
\end{array}\right.
Questions & Answers
QUESTION:
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
\(y^{\prime \prime}+y=f(x), y(0)=1, y^{\prime}(0)=-1\),
where \(f(x)=\left\{\begin{array}{ll}0, & x<0 \\10, & 0 \leq x \leq 3 \pi \\0, & x>3 \pi \end{array}\right.\)
Text Transcription:
y^{\prime \prime}+y=f(x), y(0)=1, y^{\prime}(0)=-1
f(x)=\left\{\begin{array}{ll}
0, & x<0 \\
10, & 0 \leq x \leq 3 \pi \\
0, & x>3 \pi
\end{array}\right.
ANSWER:Step 1 of 4
In this problem we need to find the solution of initial-value problem.