Question: Previous Problem Problem List Next Problem (1 point) Use the Laplace transform to solve the following initial value problem: y + 4y' + 4y =0

Previous Problem Problem List Next Problem (1 point) Use the Laplace transform to solve the following initial value problem: y" + 4y' + 4y =0 y(0) = -3, y'(0) =7 a. Using Y for the Laplace transform of y(1) , i.e., Y = [{y(t) ), find the equation you get by taking the Laplace transform of the differential equation b. Solve for Y(s) = c. write the above answer in its partial fraction decomposition, Y (s) = + B sta ( sta ) ? Y (s ) = + d. Now, by inverting the transform, find y(1) =

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