A cylindrical storage tank with cross sectional area A.contains a liquid at a depth "y", defined such that y=0 when thetank is half full. Liquid is withdrawn from the tank at a volumeflow rate of (Alpha*(1+y)^3/2)/A) which depends on the depthof water in the tank at the same time liquid is replenished at avolume rate of (2*(Q/A)*(sin(t))^2. The differential equationdescribing the rate of change of the depth of the water in the tankis:
dydt=(2*(Q/A)*(sin(t))^2-(Alpha*(1+y)^3/2)/A)
Given Data: A=800, Q=350, Alpha=220. Initial condition:y(t=0)=5m.
A) Write out by hand an estimate of the water level "y" at the time t=1.5sec using Euler's method with step size 0.5 sec
B) Solve with MATLAB t=0 to t=10, with stepsize = 0.5 andPLOT