Consider the following initial-value problem.
x^(')=([-1,-2],[3,4])x+((2)/(2)),x(0)=((-5)/(6))
Find the eigenvalues of the coefficient matrix A(t). (Enter your answers as a comma-separated list.)
\lambda =
Find an eigenvector for the corresponding eigenvalues. (Enter your answers from smallest eigenvalue to largest eigenvalue.)
K_(1)=
K_(2)=
Solve the initial-value problem.
x(t)=