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)I 5 1 -) -) 3 y [ 0 _5]y, y(0)[_4]. -> -) a. Find the eigenvalue )1, an eigenvector v1, and a generalized eigenvector

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)I 5 1 -) -) 3 y [ 0 _5]y, y(0)[_4]. -> -) a. Find the eigenvalue )1, an eigenvector v1, and a generalized eigenvector v2 for the coefficient matrix of this linear system. _) A: ,V1= ,VZ= b. Find the most general real-valued solution to the linear system of differential equations. Use t as the independent variable in your answers. 370) = c1 + c2 0. Solve the original initial value problem. 3'10) = 372 (I) =

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