5. (2 points) Everything we ve done with systems of 2 linear, constant coefficient, homogeneous differential equations works for larger systems as well. Ask wolframalpha.com for the eigenvalues and eigenvectors of the following system of three differential equations, and use the result to write the general solution: $X^{'} (t) = ⎣ ⎡ - 2 - 2 4 - 4 12 225 ⎦ ⎤ X (t)$

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5. (2 points) Everything we ve done with systems of 2 linear, constant coefficient, homogeneous differential equations works for larger systems as well. Ask wolframalpha.com for the eigenvalues and eigenvectors of the following system of three differential equations, and use the result to write the general solution:

X^{'} (t) = ⎣ ⎡ - 2 - 2 4 - 4 12 225 ⎦ ⎤ X (t)

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