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Find the general solution of the following inhomogeneous system of differential equations by using the matrix eigenvalue method and the method of variation of parameters.

  1. Find the general solution of the following inhomogeneous system of differential equations by using the matrix eigenvalue method and the method of variation of parameters.
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1. Find the general solution of the following inhomogeneous system of differential equations by using the matrix eigenvalue method and the method of variation of parameters. dx dt = 2x - y+ z+ e3t dy dt =-xty - 2e3t dz dt - y + 2z + 3e3t

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