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Use the method of eigenvalues and eigenvectors to find the general solution to the following system...

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Basic Math

Use the method of eigenvalues and eigenvectors to find thegeneral solution to the following system of differentialequations.

x′(t) = 2x(t) + 2y(t) − z(t)

y′(t) = 0 + 3y(t) + z(t)

z′(t) = 0 + 5y(t) − z(t)

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