(1) Given dt3d3y+20dt2d2y+200dtdy+500y=25dtdx+250x Find yp(t) the steady state value, for the following forcing functions-hint these are all special forms of etcos(t+1) (a) x(t)=5e3tcos(t10) The algebra is tedious-each one gets easier. (b) x(t)=10cos(10t+20) (c) x(t)=10et (d) x(t)=10