Consider the initial value problem y, j(0) = a. Find the eigenvalue A, an eigenvector v1, and a generalized eigenvector v2 for the coefficient matrix of this linear system. v1 = 02 = Find the most...

Extracted text: Consider the initial value problem y, j(0) = a. Find the eigenvalue A, an eigenvector v1, and a generalized eigenvector v2 for the coefficient matrix of this linear system. v1 = 02 = 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. y1(t) = y2(t)