Find a general solution to the system below. 11 x'(t) = 8 - 8 x(t) -5...

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Find a general solution to the system below. 11 x'(t) = 8 - 8 x(t) -5 This system has a repeated eigenvalue and one linearly independent eigenvector. To find a general solution, first obtain a nontrivial solution x, (t). Then, to obtain a second linearly independent solution, try x2(t) =te"u, + e"uz, where r is the eigenvalue of the matrix and u, is a corresponding eigenvector. Use the equation (A - rl)u, =u, to find the vector uz. x(t) = %3D Find a general solution to the system below. 11 x'(t) = 8 - 8 x(t) -5 This system has a repeated eigenvalue and one linearly independent eigenvector. To find a general solution, first obtain a nontrivial solution x, (t). Then, to obtain a second linearly independent solution, try x2(t) =te"u, + e"uz, where r is the eigenvalue of the matrix and u, is a corresponding eigenvector. Use the equation (A - rl)u, =u, to find the vector uz. x(t) = %3D