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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