PLEASE SOLVE BY HAND!!!

Find the expression of the transfer function X(s)Y(s) of the following systems. Assume that all initial conditions are zeros for y(t),x(t) and all their derivatives. a) dt3d3y(t)2dt2d2y(t)+dtdy(t)+2y(t)=dt3d3x(t)+2dt2d2x(t)+8x(t) b) dt4d4y(t)+10dt2d2y(t)+dtdy(t)+5y(t)=5x(t) c) dt3d3y(t)+dt2d2y(t)+2dtdy(t)+y(t)+20ty()d=dt2d2x(t)+2x(t) d) 2dt2d2y(t)+dtdy(t)+5y(t)=x(t)+2x(t1)