(1 point) Use the Laplace transform to solve the following initial value problem: x" + 8x' = 0 x(0) = -3, x'(0) = 5 Firs

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1 Point Use The Laplace Transform To Solve The Following Initial Value Problem X 8x 0 X 0 3 X 0 5 Firs 1 (103.75 KiB) Viewed 12 times

(1 point) Use the Laplace transform to solve the following initial value problem: x" + 8x' = 0 x(0) = -3, x'(0) = 5 First, using X for the Laplace transform of x(t), i.e., X = L{x(t)}, find the equation you get by taking the Laplace transform of the differential equation = 0 Now solve for X(s) = and write the above answer in its partial fraction decomposition, X(s) A + s+a a <b X(s) = IB + Now by inverting the transform, find x(t) = AI -> → = B where s+b