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Solve the system of differential equations: x - 2y + 2z = 3e^-t +2. initial values: - 2x' + 4y' +z=1. x(0) = 1, x'(0)=1,y(0)=4

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Solve the system of differential equations: x" - 2y + 2z = 3e^-t +2. initial values: - 2x' + 4y' +z=1. x(0) = 1, x'(0)=1,y(0)=4 2x'-4y+z'+2z"=0 Z(0)=3,z'(0)= 4

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