Question: Solve the following ODEs by eigenvalues and eigenvectorsd/dt (x) = - 3x + 2y + 2zd/dt (y) = - 6x + 5y + 2zd/dt (z) = - 7x + 4y + 4zInitial values are x(0) = 4 y(0) = 3 z(0) = 2d/dt (x) = - 3x + 2y + 2zd/dt (y) = - 6x + 5y + 2zd/dt (z) = - 7x + 4y + 4zInitial values are x(0) = 4 y(0) = 3 z(0) = 2
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