7y" +46y" 175y' - 1150y = 4e t y(0) = 0 y (0) 0 y" (0) = 1 into an algebraic equation by taking the Laplace transform of each side. Use Y for the Laplace transform of y, (not Y(s)). Transform the differential equation Therefore Y = = 15+ Taking the inverse Laplace transform we get y = 45+ 546

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