Consider the initial value problem y" – 4y' + 8y = sin(8t) y(0) = 8, y'(0) = 7 A. Use the Laplace transform to transform it into an algebraic equation. B. Solve the algebraic equation for the laplace...

Extracted text: Consider the initial value problem y" – 4y' + 8y = sin(8t) y(0) = 8, y'(0) = 7 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).)