For the same storage tank described in Prob. 1.9, suppose that the outflow is not constant but rather depends on the depth. For this case, the differential equation for depth can be written as 

Use Euler’s method to solve for the depth y from t = 0 to 10 d with a step size of 0.5 d. The parameter values are A = 1250 m², Q = 450 m³/d, and α = 150. Assume that the initial condition is y = 0.

Transcribed Image Text:

dt = 39 sin² (t) A a(1+y)¹.5 A