Solution Found!
In as in Example 6 to find a solution of the initial-value
Chapter 4, Problem 31E(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
\(y^{\prime \prime}-y=f(x), y(0)=8\), \(y^{\prime}(0)=2\),
where \(f(x)=\left\{\begin{matrix}-1, x<0\\ 1, x \geq 0\end{matrix}\right.\)
Text Transcription:
y^{\prime \prime}-y=f(x), y(0)=8
y^{\prime}(0)=2
f(x)=\left\{\begin{matrix}-1, x<0\\ 1, x \geq 0\end{matrix}\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
\(y^{\prime \prime}-y=f(x), y(0)=8\), \(y^{\prime}(0)=2\),
where \(f(x)=\left\{\begin{matrix}-1, x<0\\ 1, x \geq 0\end{matrix}\right.\)
Text Transcription:
y^{\prime \prime}-y=f(x), y(0)=8
y^{\prime}(0)=2
f(x)=\left\{\begin{matrix}-1, x<0\\ 1, x \geq 0\end{matrix}\right.
ANSWER:
Step 1 of 4
In this problem we have to solve the initial value problem.
,
,
.
Where, .
And, .