Question: Using the Laplace transform and showing the details, solve y + y - 2y = 3 sin t - cos t if 0 < t

Using the Laplace transform and showing the details, solve

y" + y’ - 2y = 3 sin t - cos t if 0 < t < 2π and 3 sin 2t - cos 2t if t > 2π; y(0) = 1, y’ (0) = 0

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