Use the Laplace transform to solve the following initial value problem: y 10y' + 41y...

 

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Use the Laplace transform to solve the following initial value problem: y" – 10y' + 41y = 0 y(0) = 0, y'(0) = 4 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) = By completing the square in the denominator and inverting the transform, find y(t) = Use the Laplace transform to solve the following initial value problem: y" – 10y' + 41y = 0 y(0) = 0, y'(0) = 4 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) = By completing the square in the denominator and inverting the transform, find y(t) =

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