Consider the initial value problem , j(0) = a. Find the eigenvalue A, an eigenvector v1, and a generalized eigenvector öz for the coefficient matrix of this linear system. 02 = • Find the most general...

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Extracted text: Consider the initial value problem , j(0) = a. Find the eigenvalue A, an eigenvector v1, and a generalized eigenvector öz for the coefficient matrix of this linear system. 02 = • Find the most general real-valued solution to the linear system of differential equations. Use t as the independent variable in your answers. T-T y(t) = c1 + c2 Solve the original initial value problem. Y1(t) = y2(t) =