Determine the eigenvalues and eigenvectors of the following equations: a. (dot{x}=x-y, quad dot{y}=x+3 y) b. (dot{x}=x+y, quad
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Determine the eigenvalues and eigenvectors of the following equations:
a. \(\dot{x}=x-y, \quad \dot{y}=x+3 y\)
b. \(\dot{x}=x+y, \quad \dot{y}=4 x+y\)
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