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Question 5 (7 points) Find the solution y (t ) of the initial value problem y' - 8y' + 16y = 8et, y(0) - 3,

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Question 5 (7 points) Find the solution y (t ) of the initial value problem y"' - 8y' + 16y = 8et, y(0) - 3, 1'(0) 2. Oy ( t ) = ( - 1 - 2t) ett + 4 e2t Oy ( t ) = ( 1 - 6t ) et + 2 e 2t None of the options displayed. Oy ( t ) = ( - 3 + 2t) et + 6 e2t Oy( t ) = - 4 eat Le At + 6 e2t Oy( t) = - 4 5 4t +-e 4 + 4 e2t Oy(t ) = Left + e-4t + 2 e2t

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