initial-conditions code snippets in matlab

solve the dae below dz dt = −2z + y 2 5 = 2z − 100 log(y) with the initial conditions z(0) = 2 and y(0) = 0.99005. in matlab

write a matlab code using the lsim command and initial conditions all being zero and fa=sin(3t) in matlab

write a matlab code using the “lsim” command and find the response. use same parameter values of part (b) but consider the initial conditions to be all zero, and input is fa=sin(3t)-2cos(t) in matlab