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Answer the following questions (a) Find the Laplace transform of g(t). day (b) Solve = g(t) where y(0) = 0 and y'(0) = 3. dt2 - go e2t 1 1 1 Answer: (a) L{g(t)} = 2 S- S 2 1 5 t 1 - ++ [v12+3+(0-1) --*7)-1 2 ) 1 -e2t 4 (b) y(t) = e2(t-1)] ut 1) 2 t + t 4 2