3. Solve the following differential equations [analytically by using Laplace transform] dx a) +16 + 3x = 5cos3t where x(0) = 0, dx(0) dt dt dx b) dx (0) + + 3x = 5e-t + t where x (0) = 0, = 0 dt dt dt CHECK YOUR ANSWER BY MATLAB 4. By using MATLAB find poles and zeros for the following transfer function. Then find inverse Laplace. 100(s+5)(s +70) G(s) s(s+45) (s +55) (s +7s + 110) (s + 6s +95)