Consider the differential equation below: y(t)=y(t)+2u(t)+u(t) (a) Compute the transfer function G(s) relating Y(s) and U(s). 1 (b) For u(t)=1(t), compute Y(s). (c) Use partial fraction expansion to compute y(t) for u(t)=1(t). (d) Plot y(t) using MATLAB and compare with your result. HINT: Use MATLAB code impulse (GU ) where G and U can be defined using the MATLAB command tf