Question: 628 thanks (1 point) Use the Laplace transform to solve the following initial value problem: y - 8y' + 16y = 0 y(0) = 1,

628 thanks

(1 point) Use the Laplace transform to solve the following initial value problem: y" - 8y' + 16y = 0 y(0) = 1, y'(0) =-1 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(8) = C. write the above answer in its partial fraction decomposition, Y (8) = + B (sta)2 Y(s) + d. Now, by inverting the transform, find y( t) =

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