I1 x₂ = x3 = || Solve the following initial value problem: 2 -10 7 +-60-~-() -1 5, z (0) 0-10 9 d dt = = 2
I1 x₂ = x3 = || Solve the following initial value problem: 2 -10 7 +-60-~-() -1 5, z (0) 0-10 9 d dt = = 2
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
![Solve the following initial value problem:
\[ \frac{d\vec{x}}{dt} = \begin{pmatrix}
2 & -10 & 7 \\
0 & -1 & 5 \\
0 & -10 & 9
\end{pmatrix} \vec{x}, \quad \vec{x}(0) = \begin{pmatrix}
2 \\
-1 \\
4
\end{pmatrix} \]
\[ x_1 = \]
\[ x_2 = \]
\[ x_3 = \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F216015d9-daff-4e98-b3d1-7f3f5202e820%2Fab390d18-ce6a-41b7-8a4d-5c46e73c1983%2Fruvbmlg_processed.png&w=3840&q=75)
Transcribed Image Text:Solve the following initial value problem:
\[ \frac{d\vec{x}}{dt} = \begin{pmatrix}
2 & -10 & 7 \\
0 & -1 & 5 \\
0 & -10 & 9
\end{pmatrix} \vec{x}, \quad \vec{x}(0) = \begin{pmatrix}
2 \\
-1 \\
4
\end{pmatrix} \]
\[ x_1 = \]
\[ x_2 = \]
\[ x_3 = \]
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