Question: Please need an answer asap Use the Laplace transform to solve the following initial value problem: y - 4y + 4y =0 y(0) = -2,

Please need an answer asap

Use the Laplace transform to solve the following initial value problem: y" - 4y + 4y =0 y(0) = -2, y'(0) = 3 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 b. Solve for Y (s) = B C. write the above answer in its partial fraction decomposition, 1 (s) - stat (sla) Y(s) -+ d. Now, by inverting the transform, find y(t) - Use the Laplace transform to solve the following initial value problem: y" - 4y' + 20y = 0 y(0) = 0, y'(0) = 4 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 b. Now solve for Y(s) = c. By completing the square in the denominator and inverting the transform, find y(t) =
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