1 Given the following transfer function: E(s) Y(s) G(s) G(s): Y(s) = 12 E(s) s² +10s+34 A. Determine the time-domain differential equation for y(t). B. Apply an input function E(s)=1 (a delta function) to the transfer function G(s) and determine the output function Y(s); then take the inverse Laplace transform to obtain the time-domain solution f(t). | y(t) = 455-5n3t 4e