Consider the initial value problem y' = y, 7(0) = a. Find the eigenvalue A, an eigenvector 1, and a generalized eigenvector v2 for the coefficient matrix of this linear system. เชี %3! Find the most...

Extracted text: Consider the initial value problem y' = y, 7(0) = a. Find the eigenvalue A, an eigenvector 1, and a generalized eigenvector v2 for the coefficient matrix of this linear system. เชี %3! 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 + c2 Solve the original initial value problem. Yı(t) = y2(t) =