into an algebraic equation by taking the Laplace transform of each side. Use Y for the Laplace transform of y, (not Y(s)). Therefore Y = 5y"" +24y" - 20y' – 96y = 9e¯ -3t y(0) = 0 y' (0) = 0 y" (0) = 1 s+3 8-2 + Taking the inverse Laplace transform we get y = 1 s+2

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