Question: Section 6.2 Solution of I.V.P: Problem 8 (1 point) Use the Laplace transform to solve the following initial value problem: y - 6y' + 9y

Section 6.2 Solution of I.V.P: Problem 8 (1 point) Use the Laplace transform to solve the following initial value problem: y" - 6y' + 9y = 0 y(0) = -1, y'(0) =7 a. Using Y for the Laplace transform of y(t), i.e., Y = Cty(t)}, find the equation you get by taking the Laplace transform of the differential equation = 0 b. Solve for Y(s) = C. write the above answer in its partial fraction decomposition, Y(s) = 3 + B (staj Y(s ) = + d. Now, by inverting the transform, find y(t) =

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