Fizaa A.

asked • 08/12/20

Solve the following 1st order linear homogeneous ODEs

Solve the following 1st order linear homogeneous ODEs:

LaTeX: \left[\begin{array}{c}
y_1^{\prime}(t)\\
y_2^{\prime}(t)\\
y_3^{\prime}(t)
\end{array}\right]
=
\left[\begin{array}{rrr}
0&2&0\\
0&1&3\\
-3&1&0
\end{array}\right]
\cdot 
\left[\begin{array}{c}
y_1 (t)\\
y_2 (t)\\
y_3 (t)
\end{array}\right]    

The  eigenvalues of the coefficient matrix are: LaTeX: 2, \, 3 \,{\vec i}, \, - 3 {\vec i}    

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