Consider the system -()* 2 -5 (a) Find a fundamental matrix V(t).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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 \( \Phi(0) = I \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b0185de-0645-4c2a-aea4-e046d61ab5cb%2F795c6d7d-1ac9-4511-a6b6-f412c633c53c%2F3ug9slj_processed.jpeg&w=3840&q=75)
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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