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x'(t) = ?

C, D, λ are constants

x(t), v, w are vectors (v is an eigenvector, w is a generalized eigenvector)

t is the variable

This is coming from a larger question, asking to prove that the above equation satisfies x'(t)=Ax(t), where A is a 2x2 matrix and x'(t) and x(t) are vectors. If you know how to answer this too, that'd be great. I've been trying to figure this out for some time now. Any help would be appreciated.