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2. Use Laplace transform to solve the following O.D.E.
(a)y ''+ 3y '+ 2y = e^ t y(0) = 1, y' (0) = 0
(b)y ''+ 3y '+ 2y = e^ ât y(0) = 1, y' (0) = 0
(c)y ''+ 4y '+ 4y = e^ â2t y(0) = 0, y' (0) = 1
(d)y ''+ y = t y(0) = 0, y' (0) = 1
