# General solution of a system of differential equations.

Let A be a 2x2 real matrix having an eigenvalue lamda = 3 + 2i and corresponding eigenvector (1, -1-i). Then the real general solution to dx/dt = Ax is:

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#### Solution Summary

We find the general solution of a system differential equations dx/dt = Ax, with a real matrix A, given one complex eigenvalue and one (complex) eigenvector of A.

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