5. (a) Derive the transfer function of an open end line, Q/P(s), and find the expressions for its parameters. (b) A hydraulic line whose end is open to the atmosphere has the following parameters: Pipe length L = 3.5 m, pipe diameter D = 8 mm, oil density p = 850 kg/m, oil viscosity = 0.018 Ns/m, and oil bulk modulus B = 1.3 GPa. Calculate the coefficients of the transfer function and plot in scale its response to a step input pressure of 0.5 bar.