Laplace Transforms: Problem 4 Use the Laplace transform to solve the following initial value problem: y" + 2y = 0 First,

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Laplace Transforms Problem 4 Use The Laplace Transform To Solve The Following Initial Value Problem Y 2y 0 First 1 (23.38 KiB) Viewed 27 times

Laplace Transforms: Problem 4 Use the Laplace transform to solve the following initial value problem: y" + 2y = 0 First, using Y for the Laplace transform of y(t), i.e., Y = L{y(t)}, find the equation you get by taking the Laplace transform of the differential equation 0 Now solve for Y(s) = and write the above answer in its partial fraction decomposition, Y(s) = 4 + where a <b Y(s) = Now by inverting the transform, find y(t) y(0) = 2, y'(0) = 7 =