Question: Consider the initial value problem a. Find the eigenvalue ), an eigenvector v1, and a generalized eigenvector 12 for the coefficient matrix of this linear

Consider the initial value problem a. Find the eigenvalue ), an eigenvector v1, and a generalized eigenvector 12 for the coefficient matrix of this linear system. * = = 181 5- 18) b. Find the most general real-valued solution to the linear system of differential equations. Use t as the independent variable in your answers. y(t) = c1 [8] + 18) c. Solve the original initial value problem. y1 (t = 32 (t) =

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