Assume the Az =o where where Z and use Cramers
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
See attached photo. Please explain steps for solution.
![Assume the \( A\vec{u} = \vec{b} \) where
\[
\vec{u}^i = \begin{pmatrix} u_1^i \\ u_2^i \end{pmatrix}
\]
and use Cramer's Rule to solve for \( u_1^i \) and \( u_2^i \). Then integrate these functions to obtain the vector
\[
\vec{u} = \langle u_1, u_2 \rangle
\]
\[
A = \begin{pmatrix} \cos x & \sin x \\ -\sin x & \cos x \end{pmatrix}, \quad \vec{b} = \begin{pmatrix} 0 \\ \sec x \end{pmatrix}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe613d3f6-ed3c-4abe-81e0-270d8219b401%2Fd86a2c3a-fcd7-4c45-bade-230940a989b4%2Fwjc8sdo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Assume the \( A\vec{u} = \vec{b} \) where
\[
\vec{u}^i = \begin{pmatrix} u_1^i \\ u_2^i \end{pmatrix}
\]
and use Cramer's Rule to solve for \( u_1^i \) and \( u_2^i \). Then integrate these functions to obtain the vector
\[
\vec{u} = \langle u_1, u_2 \rangle
\]
\[
A = \begin{pmatrix} \cos x & \sin x \\ -\sin x & \cos x \end{pmatrix}, \quad \vec{b} = \begin{pmatrix} 0 \\ \sec x \end{pmatrix}
\]
Expert Solution
Step 1
In this question, we use Cramer's rule to solve
where
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