Consider the following nonhomogeneous system. dx = 5x + 9y + 3, dt dy = -x + 11y + 9 dt Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) 1 =| 8 Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenv answer blank.) K1 8. K2 8 %3D Find the general solution of the given system. cz{[3,1]e* [2,1]e8} [ 5 G[3,1]ešt + X(t) = + + - 4

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