Using these numbers:

answer this question please:

A continuous-time LTI system at rest (IC=0) has input forcing: xin(t)=e6tu(t) and system differential equation, y(t)+4y(t)+3y(t)=xin(t)+2xin(t) s=3=s(s+1)(s+6)(s+2)s=3=3(3+1)(s3+4)(3+2)=181Ds=6=s(s+1)(s+1)(s+2)s=6=6x5x3(6+2)=6+s+34=452Y(s)=sy9s+1V10s+3V16+s+62/45 opply the invare Laplace taarnform. we knaw that s+a145.LTeatu(t) isult) y(t)=[91101et181e3t+452e6t]u(t) y(s)=s(s+1)(s+3)(s+6)(s+2)y(t)=s4+10s3+27s2+18s(s+2) Mat lab Command :- d) Plot the Zero-State Response by first using MATLAB to find the partial fraction expansion using the residue command and then formulating the analytical solution, which should coincide with your own derivation in part a). Insert code and Plot