4) The vertical displacement of a spring mass system from its natural length is d²y + 2+ 2y = e¯t where time t is measured in seconds. Using dy described by dt2 dt Laplace transform, solve the...

Extracted text: 4) The vertical displacement of a spring mass system from its natural length is d²y + 2+ 2y = e¯t where time t is measured in seconds. Using dy described by dt2 dt Laplace transform, solve the differential equation of the mass after t= 20 seconds if the initial position is y(0) = 0 m/s and the initial velocity is y'(0) = 0 m/s. %3D


Extracted text: 20S-30 3) Find the inverse Laplace Transform of the function (S-1)(S+2)³