Develop a software application which solves, based on the Euler method, the system of ordinary differential equations which describes the gas accumulation process in a series of three tanks, as...

Develop a software application which solves, based on the Euler method, the system of ordinary differential equations which describes the gas accumulation process in a series of three tanks, as presented in Fig. 4.25. The following parameters are known: V₁
= V₂
= V₃
= 20 L, R₁
= R₂
= R₃
= R₄
= 10⁸
Pa/(m³/s), gas constant R = 8314 J/kmolK, p⁴
= 0 (atmospheric pressure), the molecular mass of gas M = 29 kg/kmol and the temperature To = 20
^∘C. Compute the steady state pressures if the pressure p₀
has the initial value p₀(0) = 2 bar and it changes stepwise to p₀
= 3 bar. Plot the change of the pressures in the tanks.