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

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

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

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