Fizaa A.

asked • 08/03/20

Please help with ODE question.

Use the Eigenvalue Method to solve the following system of ODEs:



LaTeX: \left[\begin{array}{c}
x^{\prime}_1(t)\\
x_2^{\prime}(t)\\
x_3^{\prime}(t)
\end{array}\right]
= 
\left[\begin{array}{rrr}
2&4&3\\
-4&-6&-3\\
3&3&1\\
\end{array}\right] \cdot
\left[\begin{array}{c}
x_1(t)\\
x_2(t)\\
x_3(t)
\end{array}
\right]  

My answer was λ3 +3λ2-4=0

Eigenvalues: 1, eigenvector: 1, -1, 1

Eigenvalues: 2,eigenvector: -1, 1, 0

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