Advanced Engineering Mathematics
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 \( \Phi(0) = I \).
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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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