Question: Problem 11. (15 points) Use the Laplace transform to solve the following initial value problem: y + 4y = cos(3t) dit on thin neblom.

Problem 11. (15 points) Use the Laplace transform to solve the following

Problem 11. (15 points) Use the Laplace transform to solve the following initial value problem: y" + 4y = cos(3t) dit on thin neblom. y(0) 0, / (0) = 0 First, using Y for the Laplace transform of y(t), i.e., Y = C{y(t)}, find the equation you get by taking the Laplace transform of the differential equation and solving for Y: Y(s) = Find the partial fraction decomposition of Y(s) and its inverse Laplace transform to find the solution of the IVP: y(t) =

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