Find a general solution to the system below. 16 -9 x(t) 9 -2 x'(t) = This...

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Find a general solution to the system below. 16 -9 x(t) 9 -2 x'(t) = 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"u2, 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 u,. x(t) = | Find a general solution to the system below. 16 -9 x(t) 9 -2 x'(t) = 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"u2, 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 u,. x(t) = |