Problem 2: Find the time-domain solution for the following differential equation using Laplace transforms: dt4d4x+dt3d3x=cost;x(0)=dtdx(0)=dt3d3x(0)=0,dt2d2x(0)=1 Before you invert, comment on the qualitative nature of the solution asymptotically in terms of possible oscillatory, convergent or divergent behavior and calculate the final value