Aliza J.

asked • 08/20/20

Please help with this question!

Solve the following linear, homogeneous system of ODEs:

LaTeX: \left[\begin{array}{c}
x_1^{\prime}(t)\\
x_2^{\prime}(t)\\
x_3^{\prime}(t)
\end{array}\right]
= 
\left[\begin{array}{rrr}
6&4&3\\
-4&-2&-3\\
3&3&5
\end{array}\right]
\cdot
\left[\begin{array}{c}
x_1 (t)\\
x_2 (t)\\
x_3 (t)
\end{array}\right]    

the 3 eigenvalues of the coefficient matrix are: LaTeX: \lambda_1 = 5; \quad \lambda_2 = \lambda_3 = 2.

1 Expert Answer

By:

C H. answered • 08/20/20

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