MATLAB: Solve the following Fluid Dynamic System Model using Matlab

Please Solve using Matlab (Expect Part a) include Plots as well as code used

6. The following diagram shows a model of a river a. Give a dynamic systems model for hi, h2 and h in the system of DEs form. Assume that h> Di and h.>D2. Suppose that qmi = 10 kg / s, A: =A2 =As=1 m 2, = 1 kg / m, Ri-R2-R3 1/m-s, D-D2-1m. [Use MATLAB* for this part] convert the system of DEs (in part a) into frequency domain using Laplace transform. b. c. Use MATLAB* for this part] find the transfer functions Hi, H2 and H3. d. Use MATLAB* for this part] find the poles (i.e., roots of the denominator of transfer function) of the transfer functions H, H2 and Hs. Use MATLAB* for this part] take the reverse Laplace transform of Hi, H2 and H3. Rearrange the system of DEs to its original form and check with the system in part a Comment about your observations. e. 6. The following diagram shows a model of a river a. Give a dynamic systems model for hi, h2 and h in the system of DEs form. Assume that h> Di and h.>D2. Suppose that qmi = 10 kg / s, A: =A2 =As=1 m 2, = 1 kg / m, Ri-R2-R3 1/m-s, D-D2-1m. [Use MATLAB* for this part] convert the system of DEs (in part a) into frequency domain using Laplace transform. b. c. Use MATLAB* for this part] find the transfer functions Hi, H2 and H3. d. Use MATLAB* for this part] find the poles (i.e., roots of the denominator of transfer function) of the transfer functions H, H2 and Hs. Use MATLAB* for this part] take the reverse Laplace transform of Hi, H2 and H3. Rearrange the system of DEs to its original form and check with the system in part a Comment about your observations. e