MATLAB PROBLEM

Given the parameters set in the template below, create a script that uses Euler's method to chart the height of water in the tank (y in the diagram below) of Pliney's fountain. Use a time-step of 0.01 seconds and investigate from t=0 to t=100 seconds. Assume the tank is initially empty. Plot the resulting relationship. Rt Qin dy y_high 2) * f * lin (C/2gy TER? dt y_low - y = 0 y=0; f =0 F Conditional programming Calculate new y value yy_h ysy_! T F T Iterative Programming Euler's Method dy_lin - (C/2gy * tera) * f dt TR; f=1 f=f f=0 Introduce a new variable f which is 1 when the fountain is on, and when the fountain is off Script @ 1 %% Parameters and initial conditions 2 Q_in=50*10^-6; % Flow in m^3/s 3 Rt=0.05; % Tank radius in m 4 y_high=0.1; % high water mark in m 5 r=0.007; %outlet radius in m 6 C=0.6; % dimensionless constant 7 y_low=0.025; % low water mark in m 8 g=9.81; % gravitational constant in m/s^2 9 y=0; % initial water level in m 10