Here we have a system of differential equations.  (dx/dt) = 11x + 8y,  (dy/dt) = 8x - y.  The coefficient matrix,  [11   8] [8   -1]  has eigenvectors:  [1]   and   [2] [-2]           [1]  With corresponding eigenvalues of -5 and 15.  what is the general solution of this system?

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