Question

The vectors P=[-1,1] and Q=[1,1] are eigenvectors of the matrix A ([2,3],[3,2]). Use this information to solve the differential equation x(prime)=Ax + [6,1] by decoupling.

I found the evalues as 5,-1 respectively but im stuck in what to do next

D=([5,0],[0,-1]) Mb(eigenvectors=([1,1],[-1,1]) and Mb (inverse is)=([1/2,1/2],[-1/2,1/2])