Use the Laplace transform to solve the following initial value problem: y + 6y +9y=0 y(0)=...

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Use the Laplace transform to solve the following initial value problem: y" + 6y +9y=0 y(0)= 4, y/(0)=-3 a. Using Y for the Laplace transform of y(t), i.e., Y = {y(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) = + (sta) sta Y(s) = 0+0 d. Now, by inverting the transform, find y(t) = Use the Laplace transform to solve the following initial value problem: y" + 6y +9y=0 y(0)= 4, y/(0)=-3 a. Using Y for the Laplace transform of y(t), i.e., Y = {y(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) = + (sta) sta Y(s) = 0+0 d. Now, by inverting the transform, find y(t) =

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To solve the given initial value problem using the Laplace transform lets go through each step a Tak... View the full answer