
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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![2. Consider the system
\[
\vec{x}' = \begin{pmatrix} 2 & -5 \\ 1 & -2 \end{pmatrix} \vec{x}.
\]
(a) Find a fundamental matrix \( \Psi(t) \).
(b) Find the special fundamental matrix \( \Phi(t) \) so that \( \Phi(0) = I \).](https://content.bartleby.com/qna-images/question/8b0185de-0645-4c2a-aea4-e046d61ab5cb/795c6d7d-1ac9-4511-a6b6-f412c633c53c/3ug9slj_thumbnail.jpeg)
Transcribed Image Text:2. Consider the system
\[
\vec{x}' = \begin{pmatrix} 2 & -5 \\ 1 & -2 \end{pmatrix} \vec{x}.
\]
(a) Find a fundamental matrix \( \Psi(t) \).
(b) Find the special fundamental matrix \( \Phi(t) \) so that \( \Phi(0) = I \).
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