Consider the initial value problem y" - 2y' – 7y = 12t y(0) = 8, y'(0) = 4 A. Use the Laplace transform to transform it into an algebraic equation. B. Solve the algebraic equation for the laplace transform of the solution: L{y} = Y(s). (Do not try to solve for y(t) and do not even simplify the expression for Y(s).)

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