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Solve the following system of linear differential equations: dx = kx + y + z + ekt dt dy = 2y + 3z- ekt

Solve the following system of linear differential equations: dx = kx + y + z + ekt dt dy = 2y + 3z- ekt dt dz = 5z + 2ekt dt %3! Also show the phase portrait of the solution by using computer aided tools. Here the value of k=2

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