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Find the solution to the initial-value problem y(t) - 4y'(t) + 3y(t) = cos 2t, y(0) = 1, y'(0) = 0

Find the solution to the initial-value problem

y"(t) - 4y'(t) + 3y(t) = cos 2t, y(0) = 1, y'(0) = 0

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