Use the Laplace transform to solve the following initial value problem: y + 7y' = 0...
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Use the Laplace transform to solve the following initial value problem: y" + 7y' = 0 y(0) = -1, y'(0) = 8 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 Now solve for Y(s) = and write the above answer in its partial fraction decomposition, Y(s) where a < b !! 8ta Y(s) = Now by inverting the transform, find y(t) = Use the Laplace transform to solve the following initial value problem: y" + 7y' = 0 y(0) = -1, y'(0) = 8 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 Now solve for Y(s) = and write the above answer in its partial fraction decomposition, Y(s) where a < b !! 8ta Y(s) = Now by inverting the transform, find y(t) =
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