Use Laplace transform to solve the IVP and find the position of the mass at any time t. A mass weighing 32 pounds stretches a spring 8 feet and an impressed force f(t) = e-2t sin t acts on the system...

Use Laplace transform to solve the IVP and find the position of the mass at any time t.

Extracted text: A mass weighing 32 pounds stretches a spring 8 feet and an impressed force f(t) = e-2t sin t acts on the system for 0 st < o.="" if="" the="" weight="" is="" released="" from="" rest="" at="" the="" equilibrium="" position="" and="" the="" damping="" forces="" neglected,="">