Problem $1.(30$ pts$)$ The liquid storage tank shown in Figure $1$ contains $1000kg$ of liquid. At time $t=0$

liquid is fed to the tank with mass flowrate of $M_{in}^{}=100k\frac{g}{m}in$ which lasts for $10$min. What is the equation

that describes the mass of liquid in the tank? Solve the equation $($analytically or using Python$/$MATLAB$)$

to obtain the mass in the tank as a function of time.

Figure $1$