A storage tank (Fig. P1.8) contains a liquid at depth y where y = 0 when the tank is half...

A storage tank (Fig. P1.8) contains a liquid at depth y where y = 0 when the tank is half full. Liquid is withdrawn at a constant flow rate Q to meet demands. The contents are resupplied at a sinusoidal rate 3Q sin2(t). Equation (1.14) can be written for this system as

FIGURE P1.8

or, since the surface area A is constant

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 = 1200 m2 and Q = 500 m3/d. Assume that the initial condition is y = 0.