Consider the following system. dx = 2x+3y dt dy = 6x + 5y dt Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.) λ = Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue.) K₁ = K₂ = Find the general solution of the given system. (x(t), y(t)) =

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A: Given expression,

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